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Finding the Third Proportional to 653,344 and 1,386,020

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Solution

The third proportional to 653,344 and 1,386,020 is: 2,940,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,344 : 1,386,020 = 1,386,020 : x
  2. Step 2: Convert to fraction form
    653,344/1,386,020 = 1,386,020/x
  3. Step 3: Cross multiply
    653,344x = 1,386,020 × 1,386,020
  4. Step 4: Simplify right side
    653,344x = 1,921,051,440,400
  5. Step 5: Solve for x
    x = 1,921,051,440,400/653,344
  6. Step 6: Final answer
    x = 2,940,336.85

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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.