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Finding the Third Proportional to 982,837.13 and 2,147,519.25

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Solution

The third proportional to 982,837.13 and 2,147,519.25 is: 4,692,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,837.13 : 2,147,519.25 = 2,147,519.25 : x
  2. Step 2: Convert to fraction form
    982,837.13/2,147,519.25 = 2,147,519.25/x
  3. Step 3: Cross multiply
    982,837.13x = 2,147,519.25 × 2,147,519.25
  4. Step 4: Simplify right side
    982,837.13x = 4,611,838,929,120.56
  5. Step 5: Solve for x
    x = 4,611,838,929,120.56/982,837.13
  6. Step 6: Final answer
    x = 4,692,373.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.