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Finding the Third Proportional to 797,138,590.50 and 1,122,057,635.25

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Solution

The third proportional to 797,138,590.50 and 1,122,057,635.25 is: 1,579,415,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,138,590.50 : 1,122,057,635.25 = 1,122,057,635.25 : x
  2. Step 2: Convert to fraction form
    797,138,590.50/1,122,057,635.25 = 1,122,057,635.25/x
  3. Step 3: Cross multiply
    797,138,590.50x = 1,122,057,635.25 × 1,122,057,635.25
  4. Step 4: Simplify right side
    797,138,590.50x = 1,259,013,336,822,822,144
  5. Step 5: Solve for x
    x = 1,259,013,336,822,822,144/797,138,590.50
  6. Step 6: Final answer
    x = 1,579,415,865.48

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