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Finding the Third Proportional to 960,780 and 2,226,558

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Solution

The third proportional to 960,780 and 2,226,558 is: 5,159,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,780 : 2,226,558 = 2,226,558 : x
  2. Step 2: Convert to fraction form
    960,780/2,226,558 = 2,226,558/x
  3. Step 3: Cross multiply
    960,780x = 2,226,558 × 2,226,558
  4. Step 4: Simplify right side
    960,780x = 4,957,560,527,364
  5. Step 5: Solve for x
    x = 4,957,560,527,364/960,780
  6. Step 6: Final answer
    x = 5,159,933.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.