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Finding the Third Proportional to 669,328 and 992,472

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Solution

The third proportional to 669,328 and 992,472 is: 1,471,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,328 : 992,472 = 992,472 : x
  2. Step 2: Convert to fraction form
    669,328/992,472 = 992,472/x
  3. Step 3: Cross multiply
    669,328x = 992,472 × 992,472
  4. Step 4: Simplify right side
    669,328x = 985,000,670,784
  5. Step 5: Solve for x
    x = 985,000,670,784/669,328
  6. Step 6: Final answer
    x = 1,471,626.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.