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Finding the Third Proportional to 726,591.75 and 1,196,409

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Solution

The third proportional to 726,591.75 and 1,196,409 is: 1,970,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,591.75 : 1,196,409 = 1,196,409 : x
  2. Step 2: Convert to fraction form
    726,591.75/1,196,409 = 1,196,409/x
  3. Step 3: Cross multiply
    726,591.75x = 1,196,409 × 1,196,409
  4. Step 4: Simplify right side
    726,591.75x = 1,431,394,495,281
  5. Step 5: Solve for x
    x = 1,431,394,495,281/726,591.75
  6. Step 6: Final answer
    x = 1,970,012.04

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.