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Finding the Third Proportional to 653,517 and 1,432,800

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Solution

The third proportional to 653,517 and 1,432,800 is: 3,141,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,517 : 1,432,800 = 1,432,800 : x
  2. Step 2: Convert to fraction form
    653,517/1,432,800 = 1,432,800/x
  3. Step 3: Cross multiply
    653,517x = 1,432,800 × 1,432,800
  4. Step 4: Simplify right side
    653,517x = 2,052,915,840,000
  5. Step 5: Solve for x
    x = 2,052,915,840,000/653,517
  6. Step 6: Final answer
    x = 3,141,335.02

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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.