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Finding the Third Proportional to 474,596 and 1,036,744

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Solution

The third proportional to 474,596 and 1,036,744 is: 2,264,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,596 : 1,036,744 = 1,036,744 : x
  2. Step 2: Convert to fraction form
    474,596/1,036,744 = 1,036,744/x
  3. Step 3: Cross multiply
    474,596x = 1,036,744 × 1,036,744
  4. Step 4: Simplify right side
    474,596x = 1,074,838,121,536
  5. Step 5: Solve for x
    x = 1,074,838,121,536/474,596
  6. Step 6: Final answer
    x = 2,264,743.32

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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.