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Finding the Third Proportional to 1,096,750.13 and 1,694,909.81

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Solution

The third proportional to 1,096,750.13 and 1,694,909.81 is: 2,619,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,750.13 : 1,694,909.81 = 1,694,909.81 : x
  2. Step 2: Convert to fraction form
    1,096,750.13/1,694,909.81 = 1,694,909.81/x
  3. Step 3: Cross multiply
    1,096,750.13x = 1,694,909.81 × 1,694,909.81
  4. Step 4: Simplify right side
    1,096,750.13x = 2,872,719,272,508.79
  5. Step 5: Solve for x
    x = 2,872,719,272,508.79/1,096,750.13
  6. Step 6: Final answer
    x = 2,619,301.52

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Why These Related Problems?

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