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Finding the Third Proportional to 613,282 and 1,340,564

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Solution

The third proportional to 613,282 and 1,340,564 is: 2,930,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,282 : 1,340,564 = 1,340,564 : x
  2. Step 2: Convert to fraction form
    613,282/1,340,564 = 1,340,564/x
  3. Step 3: Cross multiply
    613,282x = 1,340,564 × 1,340,564
  4. Step 4: Simplify right side
    613,282x = 1,797,111,838,096
  5. Step 5: Solve for x
    x = 1,797,111,838,096/613,282
  6. Step 6: Final answer
    x = 2,930,318.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.