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Finding the Third Proportional to 654,489 and 960,186

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Solution

The third proportional to 654,489 and 960,186 is: 1,408,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,489 : 960,186 = 960,186 : x
  2. Step 2: Convert to fraction form
    654,489/960,186 = 960,186/x
  3. Step 3: Cross multiply
    654,489x = 960,186 × 960,186
  4. Step 4: Simplify right side
    654,489x = 921,957,154,596
  5. Step 5: Solve for x
    x = 921,957,154,596/654,489
  6. Step 6: Final answer
    x = 1,408,667.15

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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.