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Finding the Third Proportional to 868,207.78 and 972,004.78

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Solution

The third proportional to 868,207.78 and 972,004.78 is: 1,088,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,207.78 : 972,004.78 = 972,004.78 : x
  2. Step 2: Convert to fraction form
    868,207.78/972,004.78 = 972,004.78/x
  3. Step 3: Cross multiply
    868,207.78x = 972,004.78 × 972,004.78
  4. Step 4: Simplify right side
    868,207.78x = 944,793,294,772.86
  5. Step 5: Solve for x
    x = 944,793,294,772.86/868,207.78
  6. Step 6: Final answer
    x = 1,088,211.04

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.