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Finding the Third Proportional to 966,735 and 1,449,432

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Solution

The third proportional to 966,735 and 1,449,432 is: 2,173,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,735 : 1,449,432 = 1,449,432 : x
  2. Step 2: Convert to fraction form
    966,735/1,449,432 = 1,449,432/x
  3. Step 3: Cross multiply
    966,735x = 1,449,432 × 1,449,432
  4. Step 4: Simplify right side
    966,735x = 2,100,853,122,624
  5. Step 5: Solve for x
    x = 2,100,853,122,624/966,735
  6. Step 6: Final answer
    x = 2,173,142.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.