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Finding the Third Proportional to 2,452,417 and 5,728,118

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Solution

The third proportional to 2,452,417 and 5,728,118 is: 13,379,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,417 : 5,728,118 = 5,728,118 : x
  2. Step 2: Convert to fraction form
    2,452,417/5,728,118 = 5,728,118/x
  3. Step 3: Cross multiply
    2,452,417x = 5,728,118 × 5,728,118
  4. Step 4: Simplify right side
    2,452,417x = 32,811,335,821,924
  5. Step 5: Solve for x
    x = 32,811,335,821,924/2,452,417
  6. Step 6: Final answer
    x = 13,379,182.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.