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Finding the Third Proportional to 531,840,854 and 794,830,017

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Solution

The third proportional to 531,840,854 and 794,830,017 is: 1,187,864,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,840,854 : 794,830,017 = 794,830,017 : x
  2. Step 2: Convert to fraction form
    531,840,854/794,830,017 = 794,830,017/x
  3. Step 3: Cross multiply
    531,840,854x = 794,830,017 × 794,830,017
  4. Step 4: Simplify right side
    531,840,854x = 631,754,755,924,220,288
  5. Step 5: Solve for x
    x = 631,754,755,924,220,288/531,840,854
  6. Step 6: Final answer
    x = 1,187,864,285.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.