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Finding the Third Proportional to 1,142,304 and 2,539,920

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Solution

The third proportional to 1,142,304 and 2,539,920 is: 5,647,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,304 : 2,539,920 = 2,539,920 : x
  2. Step 2: Convert to fraction form
    1,142,304/2,539,920 = 2,539,920/x
  3. Step 3: Cross multiply
    1,142,304x = 2,539,920 × 2,539,920
  4. Step 4: Simplify right side
    1,142,304x = 6,451,193,606,400
  5. Step 5: Solve for x
    x = 6,451,193,606,400/1,142,304
  6. Step 6: Final answer
    x = 5,647,527.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.