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Finding the Third Proportional to 1,150,712.25 and 1,726,068.38

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Solution

The third proportional to 1,150,712.25 and 1,726,068.38 is: 2,589,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,712.25 : 1,726,068.38 = 1,726,068.38 : x
  2. Step 2: Convert to fraction form
    1,150,712.25/1,726,068.38 = 1,726,068.38/x
  3. Step 3: Cross multiply
    1,150,712.25x = 1,726,068.38 × 1,726,068.38
  4. Step 4: Simplify right side
    1,150,712.25x = 2,979,312,035,175.14
  5. Step 5: Solve for x
    x = 2,979,312,035,175.14/1,150,712.25
  6. Step 6: Final answer
    x = 2,589,102.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.