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Finding the Third Proportional to 622,171.13 and 989,298.56

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Solution

The third proportional to 622,171.13 and 989,298.56 is: 1,573,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,171.13 : 989,298.56 = 989,298.56 : x
  2. Step 2: Convert to fraction form
    622,171.13/989,298.56 = 989,298.56/x
  3. Step 3: Cross multiply
    622,171.13x = 989,298.56 × 989,298.56
  4. Step 4: Simplify right side
    622,171.13x = 978,711,645,764.57
  5. Step 5: Solve for x
    x = 978,711,645,764.57/622,171.13
  6. Step 6: Final answer
    x = 1,573,058.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.