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Finding the Third Proportional to 1,251,552.94 and 2,680,251.19

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Solution

The third proportional to 1,251,552.94 and 2,680,251.19 is: 5,739,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,552.94 : 2,680,251.19 = 2,680,251.19 : x
  2. Step 2: Convert to fraction form
    1,251,552.94/2,680,251.19 = 2,680,251.19/x
  3. Step 3: Cross multiply
    1,251,552.94x = 2,680,251.19 × 2,680,251.19
  4. Step 4: Simplify right side
    1,251,552.94x = 7,183,746,428,095.16
  5. Step 5: Solve for x
    x = 7,183,746,428,095.16/1,251,552.94
  6. Step 6: Final answer
    x = 5,739,866.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.