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Finding the Third Proportional to 3,159,982.13 and 5,028,657.19

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Solution

The third proportional to 3,159,982.13 and 5,028,657.19 is: 8,002,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,982.13 : 5,028,657.19 = 5,028,657.19 : x
  2. Step 2: Convert to fraction form
    3,159,982.13/5,028,657.19 = 5,028,657.19/x
  3. Step 3: Cross multiply
    3,159,982.13x = 5,028,657.19 × 5,028,657.19
  4. Step 4: Simplify right side
    3,159,982.13x = 25,287,393,109,395.41
  5. Step 5: Solve for x
    x = 25,287,393,109,395.41/3,159,982.13
  6. Step 6: Final answer
    x = 8,002,384.86

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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.