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Finding the Third Proportional to 653,060 and 940,635

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Solution

The third proportional to 653,060 and 940,635 is: 1,354,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,060 : 940,635 = 940,635 : x
  2. Step 2: Convert to fraction form
    653,060/940,635 = 940,635/x
  3. Step 3: Cross multiply
    653,060x = 940,635 × 940,635
  4. Step 4: Simplify right side
    653,060x = 884,794,203,225
  5. Step 5: Solve for x
    x = 884,794,203,225/653,060
  6. Step 6: Final answer
    x = 1,354,843.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.