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Finding the Third Proportional to 654,462 and 960,149

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Solution

The third proportional to 654,462 and 960,149 is: 1,408,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,462 : 960,149 = 960,149 : x
  2. Step 2: Convert to fraction form
    654,462/960,149 = 960,149/x
  3. Step 3: Cross multiply
    654,462x = 960,149 × 960,149
  4. Step 4: Simplify right side
    654,462x = 921,886,102,201
  5. Step 5: Solve for x
    x = 921,886,102,201/654,462
  6. Step 6: Final answer
    x = 1,408,616.70

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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.