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Finding the Third Proportional to 928,782 and 1,896,920

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Solution

The third proportional to 928,782 and 1,896,920 is: 3,874,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,782 : 1,896,920 = 1,896,920 : x
  2. Step 2: Convert to fraction form
    928,782/1,896,920 = 1,896,920/x
  3. Step 3: Cross multiply
    928,782x = 1,896,920 × 1,896,920
  4. Step 4: Simplify right side
    928,782x = 3,598,305,486,400
  5. Step 5: Solve for x
    x = 3,598,305,486,400/928,782
  6. Step 6: Final answer
    x = 3,874,219.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.