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Finding the Third Proportional to 600,242 and 915,610

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Solution

The third proportional to 600,242 and 915,610 is: 1,396,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,242 : 915,610 = 915,610 : x
  2. Step 2: Convert to fraction form
    600,242/915,610 = 915,610/x
  3. Step 3: Cross multiply
    600,242x = 915,610 × 915,610
  4. Step 4: Simplify right side
    600,242x = 838,341,672,100
  5. Step 5: Solve for x
    x = 838,341,672,100/600,242
  6. Step 6: Final answer
    x = 1,396,672.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.