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Finding the Third Proportional to 883,221 and 1,966,269

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Solution

The third proportional to 883,221 and 1,966,269 is: 4,377,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,221 : 1,966,269 = 1,966,269 : x
  2. Step 2: Convert to fraction form
    883,221/1,966,269 = 1,966,269/x
  3. Step 3: Cross multiply
    883,221x = 1,966,269 × 1,966,269
  4. Step 4: Simplify right side
    883,221x = 3,866,213,780,361
  5. Step 5: Solve for x
    x = 3,866,213,780,361/883,221
  6. Step 6: Final answer
    x = 4,377,402.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.