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Finding the Third Proportional to 527,868 and 1,231,920

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Solution

The third proportional to 527,868 and 1,231,920 is: 2,875,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,868 : 1,231,920 = 1,231,920 : x
  2. Step 2: Convert to fraction form
    527,868/1,231,920 = 1,231,920/x
  3. Step 3: Cross multiply
    527,868x = 1,231,920 × 1,231,920
  4. Step 4: Simplify right side
    527,868x = 1,517,626,886,400
  5. Step 5: Solve for x
    x = 1,517,626,886,400/527,868
  6. Step 6: Final answer
    x = 2,875,012.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.