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Finding the Third Proportional to 1,263,600 and 2,982,920

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Solution

The third proportional to 1,263,600 and 2,982,920 is: 7,041,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,600 : 2,982,920 = 2,982,920 : x
  2. Step 2: Convert to fraction form
    1,263,600/2,982,920 = 2,982,920/x
  3. Step 3: Cross multiply
    1,263,600x = 2,982,920 × 2,982,920
  4. Step 4: Simplify right side
    1,263,600x = 8,897,811,726,400
  5. Step 5: Solve for x
    x = 8,897,811,726,400/1,263,600
  6. Step 6: Final answer
    x = 7,041,636.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.