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Finding the Third Proportional to 788,001.75 and 1,155,853.13

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Solution

The third proportional to 788,001.75 and 1,155,853.13 is: 1,695,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,001.75 : 1,155,853.13 = 1,155,853.13 : x
  2. Step 2: Convert to fraction form
    788,001.75/1,155,853.13 = 1,155,853.13/x
  3. Step 3: Cross multiply
    788,001.75x = 1,155,853.13 × 1,155,853.13
  4. Step 4: Simplify right side
    788,001.75x = 1,335,996,446,572.27
  5. Step 5: Solve for x
    x = 1,335,996,446,572.27/788,001.75
  6. Step 6: Final answer
    x = 1,695,423.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.