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Finding the Third Proportional to 374,622 and 802,839

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Solution

The third proportional to 374,622 and 802,839 is: 1,720,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,622 : 802,839 = 802,839 : x
  2. Step 2: Convert to fraction form
    374,622/802,839 = 802,839/x
  3. Step 3: Cross multiply
    374,622x = 802,839 × 802,839
  4. Step 4: Simplify right side
    374,622x = 644,550,459,921
  5. Step 5: Solve for x
    x = 644,550,459,921/374,622
  6. Step 6: Final answer
    x = 1,720,535.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.