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Finding the Third Proportional to 439,441,014 and 664,817,289

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Solution

The third proportional to 439,441,014 and 664,817,289 is: 1,005,782,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,441,014 : 664,817,289 = 664,817,289 : x
  2. Step 2: Convert to fraction form
    439,441,014/664,817,289 = 664,817,289/x
  3. Step 3: Cross multiply
    439,441,014x = 664,817,289 × 664,817,289
  4. Step 4: Simplify right side
    439,441,014x = 441,982,027,753,309,504
  5. Step 5: Solve for x
    x = 441,982,027,753,309,504/439,441,014
  6. Step 6: Final answer
    x = 1,005,782,377.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.