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Finding the Third Proportional to 797,138,597.50 and 1,122,057,646.50

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Solution

The third proportional to 797,138,597.50 and 1,122,057,646.50 is: 1,579,415,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,138,597.50 : 1,122,057,646.50 = 1,122,057,646.50 : x
  2. Step 2: Convert to fraction form
    797,138,597.50/1,122,057,646.50 = 1,122,057,646.50/x
  3. Step 3: Cross multiply
    797,138,597.50x = 1,122,057,646.50 × 1,122,057,646.50
  4. Step 4: Simplify right side
    797,138,597.50x = 1,259,013,362,069,118,976
  5. Step 5: Solve for x
    x = 1,259,013,362,069,118,976/797,138,597.50
  6. Step 6: Final answer
    x = 1,579,415,883.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.