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Finding the Third Proportional to 908,689 and 1,982,402

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Solution

The third proportional to 908,689 and 1,982,402 is: 4,324,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,689 : 1,982,402 = 1,982,402 : x
  2. Step 2: Convert to fraction form
    908,689/1,982,402 = 1,982,402/x
  3. Step 3: Cross multiply
    908,689x = 1,982,402 × 1,982,402
  4. Step 4: Simplify right side
    908,689x = 3,929,917,689,604
  5. Step 5: Solve for x
    x = 3,929,917,689,604/908,689
  6. Step 6: Final answer
    x = 4,324,821.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.