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Finding the Third Proportional to 815,624 and 1,199,636

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Solution

The third proportional to 815,624 and 1,199,636 is: 1,764,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,624 : 1,199,636 = 1,199,636 : x
  2. Step 2: Convert to fraction form
    815,624/1,199,636 = 1,199,636/x
  3. Step 3: Cross multiply
    815,624x = 1,199,636 × 1,199,636
  4. Step 4: Simplify right side
    815,624x = 1,439,126,532,496
  5. Step 5: Solve for x
    x = 1,439,126,532,496/815,624
  6. Step 6: Final answer
    x = 1,764,448.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.