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Finding the Third Proportional to 604,287 and 847,098

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Solution

The third proportional to 604,287 and 847,098 is: 1,187,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,287 : 847,098 = 847,098 : x
  2. Step 2: Convert to fraction form
    604,287/847,098 = 847,098/x
  3. Step 3: Cross multiply
    604,287x = 847,098 × 847,098
  4. Step 4: Simplify right side
    604,287x = 717,575,021,604
  5. Step 5: Solve for x
    x = 717,575,021,604/604,287
  6. Step 6: Final answer
    x = 1,187,473.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.