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Finding the Third Proportional to 687,007.13 and 1,468,357.31

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Solution

The third proportional to 687,007.13 and 1,468,357.31 is: 3,138,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,007.13 : 1,468,357.31 = 1,468,357.31 : x
  2. Step 2: Convert to fraction form
    687,007.13/1,468,357.31 = 1,468,357.31/x
  3. Step 3: Cross multiply
    687,007.13x = 1,468,357.31 × 1,468,357.31
  4. Step 4: Simplify right side
    687,007.13x = 2,156,073,197,172.22
  5. Step 5: Solve for x
    x = 2,156,073,197,172.22/687,007.13
  6. Step 6: Final answer
    x = 3,138,356.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.