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Finding the Third Proportional to 621,738 and 1,228,920

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Solution

The third proportional to 621,738 and 1,228,920 is: 2,429,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,738 : 1,228,920 = 1,228,920 : x
  2. Step 2: Convert to fraction form
    621,738/1,228,920 = 1,228,920/x
  3. Step 3: Cross multiply
    621,738x = 1,228,920 × 1,228,920
  4. Step 4: Simplify right side
    621,738x = 1,510,244,366,400
  5. Step 5: Solve for x
    x = 1,510,244,366,400/621,738
  6. Step 6: Final answer
    x = 2,429,068.78

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.