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Finding the Third Proportional to 2,593,417.50 and 5,691,288

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Solution

The third proportional to 2,593,417.50 and 5,691,288 is: 12,489,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593,417.50 : 5,691,288 = 5,691,288 : x
  2. Step 2: Convert to fraction form
    2,593,417.50/5,691,288 = 5,691,288/x
  3. Step 3: Cross multiply
    2,593,417.50x = 5,691,288 × 5,691,288
  4. Step 4: Simplify right side
    2,593,417.50x = 32,390,759,098,944
  5. Step 5: Solve for x
    x = 32,390,759,098,944/2,593,417.50
  6. Step 6: Final answer
    x = 12,489,604.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.