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Finding the Third Proportional to 452,832 and 1,022,448

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Solution

The third proportional to 452,832 and 1,022,448 is: 2,308,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,832 : 1,022,448 = 1,022,448 : x
  2. Step 2: Convert to fraction form
    452,832/1,022,448 = 1,022,448/x
  3. Step 3: Cross multiply
    452,832x = 1,022,448 × 1,022,448
  4. Step 4: Simplify right side
    452,832x = 1,045,399,912,704
  5. Step 5: Solve for x
    x = 1,045,399,912,704/452,832
  6. Step 6: Final answer
    x = 2,308,582.24

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.