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Finding the Third Proportional to 499,412 and 1,100,617

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Solution

The third proportional to 499,412 and 1,100,617 is: 2,425,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,412 : 1,100,617 = 1,100,617 : x
  2. Step 2: Convert to fraction form
    499,412/1,100,617 = 1,100,617/x
  3. Step 3: Cross multiply
    499,412x = 1,100,617 × 1,100,617
  4. Step 4: Simplify right side
    499,412x = 1,211,357,780,689
  5. Step 5: Solve for x
    x = 1,211,357,780,689/499,412
  6. Step 6: Final answer
    x = 2,425,568.03

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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.