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Finding the Third Proportional to 872,250 and 1,850,175

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Solution

The third proportional to 872,250 and 1,850,175 is: 3,924,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,250 : 1,850,175 = 1,850,175 : x
  2. Step 2: Convert to fraction form
    872,250/1,850,175 = 1,850,175/x
  3. Step 3: Cross multiply
    872,250x = 1,850,175 × 1,850,175
  4. Step 4: Simplify right side
    872,250x = 3,423,147,530,625
  5. Step 5: Solve for x
    x = 3,423,147,530,625/872,250
  6. Step 6: Final answer
    x = 3,924,502.76

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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.