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Finding the Third Proportional to 1,263,554 and 2,982,821

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Solution

The third proportional to 1,263,554 and 2,982,821 is: 7,041,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,554 : 2,982,821 = 2,982,821 : x
  2. Step 2: Convert to fraction form
    1,263,554/2,982,821 = 2,982,821/x
  3. Step 3: Cross multiply
    1,263,554x = 2,982,821 × 2,982,821
  4. Step 4: Simplify right side
    1,263,554x = 8,897,221,118,041
  5. Step 5: Solve for x
    x = 8,897,221,118,041/1,263,554
  6. Step 6: Final answer
    x = 7,041,425.31

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Why These Related Problems?

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