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Finding the Third Proportional to 653,512 and 1,432,791

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Solution

The third proportional to 653,512 and 1,432,791 is: 3,141,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,512 : 1,432,791 = 1,432,791 : x
  2. Step 2: Convert to fraction form
    653,512/1,432,791 = 1,432,791/x
  3. Step 3: Cross multiply
    653,512x = 1,432,791 × 1,432,791
  4. Step 4: Simplify right side
    653,512x = 2,052,890,049,681
  5. Step 5: Solve for x
    x = 2,052,890,049,681/653,512
  6. Step 6: Final answer
    x = 3,141,319.59

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Why These Related Problems?

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