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Finding the Third Proportional to 872,253 and 1,850,193

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Solution

The third proportional to 872,253 and 1,850,193 is: 3,924,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,253 : 1,850,193 = 1,850,193 : x
  2. Step 2: Convert to fraction form
    872,253/1,850,193 = 1,850,193/x
  3. Step 3: Cross multiply
    872,253x = 1,850,193 × 1,850,193
  4. Step 4: Simplify right side
    872,253x = 3,423,214,137,249
  5. Step 5: Solve for x
    x = 3,423,214,137,249/872,253
  6. Step 6: Final answer
    x = 3,924,565.62

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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.