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Finding the Third Proportional to 393,541,065 and 861,218,511

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Solution

The third proportional to 393,541,065 and 861,218,511 is: 1,884,675,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,541,065 : 861,218,511 = 861,218,511 : x
  2. Step 2: Convert to fraction form
    393,541,065/861,218,511 = 861,218,511/x
  3. Step 3: Cross multiply
    393,541,065x = 861,218,511 × 861,218,511
  4. Step 4: Simplify right side
    393,541,065x = 741,697,323,689,057,152
  5. Step 5: Solve for x
    x = 741,697,323,689,057,152/393,541,065
  6. Step 6: Final answer
    x = 1,884,675,805.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.