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Finding the Third Proportional to 393,550,746 and 861,237,822

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Solution

The third proportional to 393,550,746 and 861,237,822 is: 1,884,713,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,550,746 : 861,237,822 = 861,237,822 : x
  2. Step 2: Convert to fraction form
    393,550,746/861,237,822 = 861,237,822/x
  3. Step 3: Cross multiply
    393,550,746x = 861,237,822 × 861,237,822
  4. Step 4: Simplify right side
    393,550,746x = 741,730,586,043,303,680
  5. Step 5: Solve for x
    x = 741,730,586,043,303,680/393,550,746
  6. Step 6: Final answer
    x = 1,884,713,962.77

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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.