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Finding the Third Proportional to 726,132 and 1,578,195

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Solution

The third proportional to 726,132 and 1,578,195 is: 3,430,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,132 : 1,578,195 = 1,578,195 : x
  2. Step 2: Convert to fraction form
    726,132/1,578,195 = 1,578,195/x
  3. Step 3: Cross multiply
    726,132x = 1,578,195 × 1,578,195
  4. Step 4: Simplify right side
    726,132x = 2,490,699,458,025
  5. Step 5: Solve for x
    x = 2,490,699,458,025/726,132
  6. Step 6: Final answer
    x = 3,430,091.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.