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Finding the Third Proportional to 1,149,494.89 and 2,709,680.19

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Solution

The third proportional to 1,149,494.89 and 2,709,680.19 is: 6,387,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,494.89 : 2,709,680.19 = 2,709,680.19 : x
  2. Step 2: Convert to fraction form
    1,149,494.89/2,709,680.19 = 2,709,680.19/x
  3. Step 3: Cross multiply
    1,149,494.89x = 2,709,680.19 × 2,709,680.19
  4. Step 4: Simplify right side
    1,149,494.89x = 7,342,366,707,944.94
  5. Step 5: Solve for x
    x = 7,342,366,707,944.94/1,149,494.89
  6. Step 6: Final answer
    x = 6,387,472.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.