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Finding the Third Proportional to 589,727.25 and 1,386,288

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Solution

The third proportional to 589,727.25 and 1,386,288 is: 3,258,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,727.25 : 1,386,288 = 1,386,288 : x
  2. Step 2: Convert to fraction form
    589,727.25/1,386,288 = 1,386,288/x
  3. Step 3: Cross multiply
    589,727.25x = 1,386,288 × 1,386,288
  4. Step 4: Simplify right side
    589,727.25x = 1,921,794,418,944
  5. Step 5: Solve for x
    x = 1,921,794,418,944/589,727.25
  6. Step 6: Final answer
    x = 3,258,785.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.