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Finding the Third Proportional to 653,170 and 989,598

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Solution

The third proportional to 653,170 and 989,598 is: 1,499,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,170 : 989,598 = 989,598 : x
  2. Step 2: Convert to fraction form
    653,170/989,598 = 989,598/x
  3. Step 3: Cross multiply
    653,170x = 989,598 × 989,598
  4. Step 4: Simplify right side
    653,170x = 979,304,201,604
  5. Step 5: Solve for x
    x = 979,304,201,604/653,170
  6. Step 6: Final answer
    x = 1,499,309.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.