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Finding the Third Proportional to 729,015.19 and 1,001,144.81

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Solution

The third proportional to 729,015.19 and 1,001,144.81 is: 1,374,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,015.19 : 1,001,144.81 = 1,001,144.81 : x
  2. Step 2: Convert to fraction form
    729,015.19/1,001,144.81 = 1,001,144.81/x
  3. Step 3: Cross multiply
    729,015.19x = 1,001,144.81 × 1,001,144.81
  4. Step 4: Simplify right side
    729,015.19x = 1,002,290,935,595.66
  5. Step 5: Solve for x
    x = 1,002,290,935,595.66/729,015.19
  6. Step 6: Final answer
    x = 1,374,856.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.