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Finding the Third Proportional to 474,266 and 1,119,533

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Solution

The third proportional to 474,266 and 1,119,533 is: 2,642,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,266 : 1,119,533 = 1,119,533 : x
  2. Step 2: Convert to fraction form
    474,266/1,119,533 = 1,119,533/x
  3. Step 3: Cross multiply
    474,266x = 1,119,533 × 1,119,533
  4. Step 4: Simplify right side
    474,266x = 1,253,354,138,089
  5. Step 5: Solve for x
    x = 1,253,354,138,089/474,266
  6. Step 6: Final answer
    x = 2,642,723.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.