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Finding the Third Proportional to 408,452 and 887,746

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Solution

The third proportional to 408,452 and 887,746 is: 1,929,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,452 : 887,746 = 887,746 : x
  2. Step 2: Convert to fraction form
    408,452/887,746 = 887,746/x
  3. Step 3: Cross multiply
    408,452x = 887,746 × 887,746
  4. Step 4: Simplify right side
    408,452x = 788,092,960,516
  5. Step 5: Solve for x
    x = 788,092,960,516/408,452
  6. Step 6: Final answer
    x = 1,929,462.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.