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Finding the Third Proportional to 651,508 and 1,414,424

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Solution

The third proportional to 651,508 and 1,414,424 is: 3,070,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,508 : 1,414,424 = 1,414,424 : x
  2. Step 2: Convert to fraction form
    651,508/1,414,424 = 1,414,424/x
  3. Step 3: Cross multiply
    651,508x = 1,414,424 × 1,414,424
  4. Step 4: Simplify right side
    651,508x = 2,000,595,251,776
  5. Step 5: Solve for x
    x = 2,000,595,251,776/651,508
  6. Step 6: Final answer
    x = 3,070,714.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.