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Finding the Third Proportional to 797,138,634 and 1,122,057,696

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Solution

The third proportional to 797,138,634 and 1,122,057,696 is: 1,579,415,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,138,634 : 1,122,057,696 = 1,122,057,696 : x
  2. Step 2: Convert to fraction form
    797,138,634/1,122,057,696 = 1,122,057,696/x
  3. Step 3: Cross multiply
    797,138,634x = 1,122,057,696 × 1,122,057,696
  4. Step 4: Simplify right side
    797,138,634x = 1,259,013,473,152,828,416
  5. Step 5: Solve for x
    x = 1,259,013,473,152,828,416/797,138,634
  6. Step 6: Final answer
    x = 1,579,415,950.32

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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.