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Finding the Third Proportional to 843,220 and 1,233,282

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Solution

The third proportional to 843,220 and 1,233,282 is: 1,803,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,220 : 1,233,282 = 1,233,282 : x
  2. Step 2: Convert to fraction form
    843,220/1,233,282 = 1,233,282/x
  3. Step 3: Cross multiply
    843,220x = 1,233,282 × 1,233,282
  4. Step 4: Simplify right side
    843,220x = 1,520,984,491,524
  5. Step 5: Solve for x
    x = 1,520,984,491,524/843,220
  6. Step 6: Final answer
    x = 1,803,781.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.