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Finding the Third Proportional to 452,184 and 699,849

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Solution

The third proportional to 452,184 and 699,849 is: 1,083,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,184 : 699,849 = 699,849 : x
  2. Step 2: Convert to fraction form
    452,184/699,849 = 699,849/x
  3. Step 3: Cross multiply
    452,184x = 699,849 × 699,849
  4. Step 4: Simplify right side
    452,184x = 489,788,622,801
  5. Step 5: Solve for x
    x = 489,788,622,801/452,184
  6. Step 6: Final answer
    x = 1,083,162.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.