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Finding the Third Proportional to 908,882.25 and 1,382,208

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Solution

The third proportional to 908,882.25 and 1,382,208 is: 2,102,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,882.25 : 1,382,208 = 1,382,208 : x
  2. Step 2: Convert to fraction form
    908,882.25/1,382,208 = 1,382,208/x
  3. Step 3: Cross multiply
    908,882.25x = 1,382,208 × 1,382,208
  4. Step 4: Simplify right side
    908,882.25x = 1,910,498,955,264
  5. Step 5: Solve for x
    x = 1,910,498,955,264/908,882.25
  6. Step 6: Final answer
    x = 2,102,031.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.