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Finding the Third Proportional to 687,890.75 and 934,138.13

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Solution

The third proportional to 687,890.75 and 934,138.13 is: 1,268,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,890.75 : 934,138.13 = 934,138.13 : x
  2. Step 2: Convert to fraction form
    687,890.75/934,138.13 = 934,138.13/x
  3. Step 3: Cross multiply
    687,890.75x = 934,138.13 × 934,138.13
  4. Step 4: Simplify right side
    687,890.75x = 872,614,036,578.52
  5. Step 5: Solve for x
    x = 872,614,036,578.52/687,890.75
  6. Step 6: Final answer
    x = 1,268,535.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.