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Finding the Third Proportional to 2,452,616 and 5,361,424

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Solution

The third proportional to 2,452,616 and 5,361,424 is: 11,720,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,616 : 5,361,424 = 5,361,424 : x
  2. Step 2: Convert to fraction form
    2,452,616/5,361,424 = 5,361,424/x
  3. Step 3: Cross multiply
    2,452,616x = 5,361,424 × 5,361,424
  4. Step 4: Simplify right side
    2,452,616x = 28,744,867,307,776
  5. Step 5: Solve for x
    x = 28,744,867,307,776/2,452,616
  6. Step 6: Final answer
    x = 11,720,084.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.