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Finding the Third Proportional to 908,885 and 1,382,213

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Solution

The third proportional to 908,885 and 1,382,213 is: 2,102,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,885 : 1,382,213 = 1,382,213 : x
  2. Step 2: Convert to fraction form
    908,885/1,382,213 = 1,382,213/x
  3. Step 3: Cross multiply
    908,885x = 1,382,213 × 1,382,213
  4. Step 4: Simplify right side
    908,885x = 1,910,512,777,369
  5. Step 5: Solve for x
    x = 1,910,512,777,369/908,885
  6. Step 6: Final answer
    x = 2,102,040.17

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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.