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Finding the Third Proportional to 2,479,840 and 5,257,312

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Solution

The third proportional to 2,479,840 and 5,257,312 is: 11,145,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,840 : 5,257,312 = 5,257,312 : x
  2. Step 2: Convert to fraction form
    2,479,840/5,257,312 = 5,257,312/x
  3. Step 3: Cross multiply
    2,479,840x = 5,257,312 × 5,257,312
  4. Step 4: Simplify right side
    2,479,840x = 27,639,329,465,344
  5. Step 5: Solve for x
    x = 27,639,329,465,344/2,479,840
  6. Step 6: Final answer
    x = 11,145,609.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.