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Finding the Third Proportional to 653,432 and 1,386,172

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Solution

The third proportional to 653,432 and 1,386,172 is: 2,940,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,432 : 1,386,172 = 1,386,172 : x
  2. Step 2: Convert to fraction form
    653,432/1,386,172 = 1,386,172/x
  3. Step 3: Cross multiply
    653,432x = 1,386,172 × 1,386,172
  4. Step 4: Simplify right side
    653,432x = 1,921,472,813,584
  5. Step 5: Solve for x
    x = 1,921,472,813,584/653,432
  6. Step 6: Final answer
    x = 2,940,585.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.