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Finding the Third Proportional to 1,302,982.88 and 1,981,040.63

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Solution

The third proportional to 1,302,982.88 and 1,981,040.63 is: 3,011,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,982.88 : 1,981,040.63 = 1,981,040.63 : x
  2. Step 2: Convert to fraction form
    1,302,982.88/1,981,040.63 = 1,981,040.63/x
  3. Step 3: Cross multiply
    1,302,982.88x = 1,981,040.63 × 1,981,040.63
  4. Step 4: Simplify right side
    1,302,982.88x = 3,924,521,957,900.39
  5. Step 5: Solve for x
    x = 3,924,521,957,900.39/1,302,982.88
  6. Step 6: Final answer
    x = 3,011,952.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.