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Finding the Third Proportional to 978,176.25 and 2,086,353

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Solution

The third proportional to 978,176.25 and 2,086,353 is: 4,449,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,176.25 : 2,086,353 = 2,086,353 : x
  2. Step 2: Convert to fraction form
    978,176.25/2,086,353 = 2,086,353/x
  3. Step 3: Cross multiply
    978,176.25x = 2,086,353 × 2,086,353
  4. Step 4: Simplify right side
    978,176.25x = 4,352,868,840,609
  5. Step 5: Solve for x
    x = 4,352,868,840,609/978,176.25
  6. Step 6: Final answer
    x = 4,449,984.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.