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Finding the Third Proportional to 654,451 and 960,127

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Solution

The third proportional to 654,451 and 960,127 is: 1,408,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,451 : 960,127 = 960,127 : x
  2. Step 2: Convert to fraction form
    654,451/960,127 = 960,127/x
  3. Step 3: Cross multiply
    654,451x = 960,127 × 960,127
  4. Step 4: Simplify right side
    654,451x = 921,843,856,129
  5. Step 5: Solve for x
    x = 921,843,856,129/654,451
  6. Step 6: Final answer
    x = 1,408,575.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.