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Finding the Third Proportional to 1,053,263 and 1,589,214

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Solution

The third proportional to 1,053,263 and 1,589,214 is: 2,397,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,263 : 1,589,214 = 1,589,214 : x
  2. Step 2: Convert to fraction form
    1,053,263/1,589,214 = 1,589,214/x
  3. Step 3: Cross multiply
    1,053,263x = 1,589,214 × 1,589,214
  4. Step 4: Simplify right side
    1,053,263x = 2,525,601,137,796
  5. Step 5: Solve for x
    x = 2,525,601,137,796/1,053,263
  6. Step 6: Final answer
    x = 2,397,882.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.