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Finding the Third Proportional to 616,248 and 928,746

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Solution

The third proportional to 616,248 and 928,746 is: 1,399,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,248 : 928,746 = 928,746 : x
  2. Step 2: Convert to fraction form
    616,248/928,746 = 928,746/x
  3. Step 3: Cross multiply
    616,248x = 928,746 × 928,746
  4. Step 4: Simplify right side
    616,248x = 862,569,132,516
  5. Step 5: Solve for x
    x = 862,569,132,516/616,248
  6. Step 6: Final answer
    x = 1,399,711.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.