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Finding the Third Proportional to 1,263,580 and 2,982,882

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Solution

The third proportional to 1,263,580 and 2,982,882 is: 7,041,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,580 : 2,982,882 = 2,982,882 : x
  2. Step 2: Convert to fraction form
    1,263,580/2,982,882 = 2,982,882/x
  3. Step 3: Cross multiply
    1,263,580x = 2,982,882 × 2,982,882
  4. Step 4: Simplify right side
    1,263,580x = 8,897,585,025,924
  5. Step 5: Solve for x
    x = 8,897,585,025,924/1,263,580
  6. Step 6: Final answer
    x = 7,041,568.42

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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.