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Finding the Third Proportional to 2,857,344 and 6,286,080

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Solution

The third proportional to 2,857,344 and 6,286,080 is: 13,829,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,344 : 6,286,080 = 6,286,080 : x
  2. Step 2: Convert to fraction form
    2,857,344/6,286,080 = 6,286,080/x
  3. Step 3: Cross multiply
    2,857,344x = 6,286,080 × 6,286,080
  4. Step 4: Simplify right side
    2,857,344x = 39,514,801,766,400
  5. Step 5: Solve for x
    x = 39,514,801,766,400/2,857,344
  6. Step 6: Final answer
    x = 13,829,207.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.