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Finding the Third Proportional to 658,609 and 993,100

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Solution

The third proportional to 658,609 and 993,100 is: 1,497,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,609 : 993,100 = 993,100 : x
  2. Step 2: Convert to fraction form
    658,609/993,100 = 993,100/x
  3. Step 3: Cross multiply
    658,609x = 993,100 × 993,100
  4. Step 4: Simplify right side
    658,609x = 986,247,610,000
  5. Step 5: Solve for x
    x = 986,247,610,000/658,609
  6. Step 6: Final answer
    x = 1,497,470.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.