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Finding the Third Proportional to 919,432 and 1,427,261

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Solution

The third proportional to 919,432 and 1,427,261 is: 2,215,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,432 : 1,427,261 = 1,427,261 : x
  2. Step 2: Convert to fraction form
    919,432/1,427,261 = 1,427,261/x
  3. Step 3: Cross multiply
    919,432x = 1,427,261 × 1,427,261
  4. Step 4: Simplify right side
    919,432x = 2,037,073,962,121
  5. Step 5: Solve for x
    x = 2,037,073,962,121/919,432
  6. Step 6: Final answer
    x = 2,215,578.71

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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.