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Finding the Third Proportional to 690,468 and 932,874

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Solution

The third proportional to 690,468 and 932,874 is: 1,260,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,468 : 932,874 = 932,874 : x
  2. Step 2: Convert to fraction form
    690,468/932,874 = 932,874/x
  3. Step 3: Cross multiply
    690,468x = 932,874 × 932,874
  4. Step 4: Simplify right side
    690,468x = 870,253,899,876
  5. Step 5: Solve for x
    x = 870,253,899,876/690,468
  6. Step 6: Final answer
    x = 1,260,382.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.