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Finding the Third Proportional to 600,138 and 928,962

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Solution

The third proportional to 600,138 and 928,962 is: 1,437,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,138 : 928,962 = 928,962 : x
  2. Step 2: Convert to fraction form
    600,138/928,962 = 928,962/x
  3. Step 3: Cross multiply
    600,138x = 928,962 × 928,962
  4. Step 4: Simplify right side
    600,138x = 862,970,397,444
  5. Step 5: Solve for x
    x = 862,970,397,444/600,138
  6. Step 6: Final answer
    x = 1,437,953.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.