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Finding the Third Proportional to 802,920 and 1,873,543

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Solution

The third proportional to 802,920 and 1,873,543 is: 4,371,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,920 : 1,873,543 = 1,873,543 : x
  2. Step 2: Convert to fraction form
    802,920/1,873,543 = 1,873,543/x
  3. Step 3: Cross multiply
    802,920x = 1,873,543 × 1,873,543
  4. Step 4: Simplify right side
    802,920x = 3,510,163,372,849
  5. Step 5: Solve for x
    x = 3,510,163,372,849/802,920
  6. Step 6: Final answer
    x = 4,371,747.34

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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.