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Finding the Third Proportional to 1,833,680 and 3,982,909

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Solution

The third proportional to 1,833,680 and 3,982,909 is: 8,651,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,680 : 3,982,909 = 3,982,909 : x
  2. Step 2: Convert to fraction form
    1,833,680/3,982,909 = 3,982,909/x
  3. Step 3: Cross multiply
    1,833,680x = 3,982,909 × 3,982,909
  4. Step 4: Simplify right side
    1,833,680x = 15,863,564,102,281
  5. Step 5: Solve for x
    x = 15,863,564,102,281/1,833,680
  6. Step 6: Final answer
    x = 8,651,217.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.