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Finding the Third Proportional to 431,935,446 and 695,558,385

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Solution

The third proportional to 431,935,446 and 695,558,385 is: 1,120,078,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,935,446 : 695,558,385 = 695,558,385 : x
  2. Step 2: Convert to fraction form
    431,935,446/695,558,385 = 695,558,385/x
  3. Step 3: Cross multiply
    431,935,446x = 695,558,385 × 695,558,385
  4. Step 4: Simplify right side
    431,935,446x = 483,801,466,943,808,256
  5. Step 5: Solve for x
    x = 483,801,466,943,808,256/431,935,446
  6. Step 6: Final answer
    x = 1,120,078,177.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.