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Finding the Third Proportional to 734,102 and 967,448

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Solution

The third proportional to 734,102 and 967,448 is: 1,274,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,102 : 967,448 = 967,448 : x
  2. Step 2: Convert to fraction form
    734,102/967,448 = 967,448/x
  3. Step 3: Cross multiply
    734,102x = 967,448 × 967,448
  4. Step 4: Simplify right side
    734,102x = 935,955,632,704
  5. Step 5: Solve for x
    x = 935,955,632,704/734,102
  6. Step 6: Final answer
    x = 1,274,966.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.