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Finding the Third Proportional to 1,302,712.50 and 2,828,238

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Solution

The third proportional to 1,302,712.50 and 2,828,238 is: 6,140,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,712.50 : 2,828,238 = 2,828,238 : x
  2. Step 2: Convert to fraction form
    1,302,712.50/2,828,238 = 2,828,238/x
  3. Step 3: Cross multiply
    1,302,712.50x = 2,828,238 × 2,828,238
  4. Step 4: Simplify right side
    1,302,712.50x = 7,998,930,184,644
  5. Step 5: Solve for x
    x = 7,998,930,184,644/1,302,712.50
  6. Step 6: Final answer
    x = 6,140,211.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.