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Finding the Third Proportional to 2,489,017 and 5,416,059

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Solution

The third proportional to 2,489,017 and 5,416,059 is: 11,785,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489,017 : 5,416,059 = 5,416,059 : x
  2. Step 2: Convert to fraction form
    2,489,017/5,416,059 = 5,416,059/x
  3. Step 3: Cross multiply
    2,489,017x = 5,416,059 × 5,416,059
  4. Step 4: Simplify right side
    2,489,017x = 29,333,695,091,481
  5. Step 5: Solve for x
    x = 29,333,695,091,481/2,489,017
  6. Step 6: Final answer
    x = 11,785,253.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.