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Finding the Third Proportional to 982,882.69 and 2,102,387.06

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Solution

The third proportional to 982,882.69 and 2,102,387.06 is: 4,497,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,882.69 : 2,102,387.06 = 2,102,387.06 : x
  2. Step 2: Convert to fraction form
    982,882.69/2,102,387.06 = 2,102,387.06/x
  3. Step 3: Cross multiply
    982,882.69x = 2,102,387.06 × 2,102,387.06
  4. Step 4: Simplify right side
    982,882.69x = 4,420,031,360,567.38
  5. Step 5: Solve for x
    x = 4,420,031,360,567.38/982,882.69
  6. Step 6: Final answer
    x = 4,497,008.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.