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Finding the Third Proportional to 1,444,969.13 and 3,147,366.38

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Solution

The third proportional to 1,444,969.13 and 3,147,366.38 is: 6,855,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444,969.13 : 3,147,366.38 = 3,147,366.38 : x
  2. Step 2: Convert to fraction form
    1,444,969.13/3,147,366.38 = 3,147,366.38/x
  3. Step 3: Cross multiply
    1,444,969.13x = 3,147,366.38 × 3,147,366.38
  4. Step 4: Simplify right side
    1,444,969.13x = 9,905,915,098,480.64
  5. Step 5: Solve for x
    x = 9,905,915,098,480.64/1,444,969.13
  6. Step 6: Final answer
    x = 6,855,451.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.