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Finding the Third Proportional to 654,460 and 960,138

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Solution

The third proportional to 654,460 and 960,138 is: 1,408,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,460 : 960,138 = 960,138 : x
  2. Step 2: Convert to fraction form
    654,460/960,138 = 960,138/x
  3. Step 3: Cross multiply
    654,460x = 960,138 × 960,138
  4. Step 4: Simplify right side
    654,460x = 921,864,979,044
  5. Step 5: Solve for x
    x = 921,864,979,044/654,460
  6. Step 6: Final answer
    x = 1,408,588.73

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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.