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Finding the Third Proportional to 474,412 and 1,033,057

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Solution

The third proportional to 474,412 and 1,033,057 is: 2,249,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,412 : 1,033,057 = 1,033,057 : x
  2. Step 2: Convert to fraction form
    474,412/1,033,057 = 1,033,057/x
  3. Step 3: Cross multiply
    474,412x = 1,033,057 × 1,033,057
  4. Step 4: Simplify right side
    474,412x = 1,067,206,765,249
  5. Step 5: Solve for x
    x = 1,067,206,765,249/474,412
  6. Step 6: Final answer
    x = 2,249,535.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.