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Finding the Third Proportional to 2,209,285.13 and 3,428,851.50

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Solution

The third proportional to 2,209,285.13 and 3,428,851.50 is: 5,321,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,285.13 : 3,428,851.50 = 3,428,851.50 : x
  2. Step 2: Convert to fraction form
    2,209,285.13/3,428,851.50 = 3,428,851.50/x
  3. Step 3: Cross multiply
    2,209,285.13x = 3,428,851.50 × 3,428,851.50
  4. Step 4: Simplify right side
    2,209,285.13x = 11,757,022,609,052.25
  5. Step 5: Solve for x
    x = 11,757,022,609,052.25/2,209,285.13
  6. Step 6: Final answer
    x = 5,321,641.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.