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Finding the Third Proportional to 402,140 and 883,981

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Solution

The third proportional to 402,140 and 883,981 is: 1,943,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,140 : 883,981 = 883,981 : x
  2. Step 2: Convert to fraction form
    402,140/883,981 = 883,981/x
  3. Step 3: Cross multiply
    402,140x = 883,981 × 883,981
  4. Step 4: Simplify right side
    402,140x = 781,422,408,361
  5. Step 5: Solve for x
    x = 781,422,408,361/402,140
  6. Step 6: Final answer
    x = 1,943,160.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.