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Finding the Third Proportional to 520,074 and 1,117,744

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Solution

The third proportional to 520,074 and 1,117,744 is: 2,402,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,074 : 1,117,744 = 1,117,744 : x
  2. Step 2: Convert to fraction form
    520,074/1,117,744 = 1,117,744/x
  3. Step 3: Cross multiply
    520,074x = 1,117,744 × 1,117,744
  4. Step 4: Simplify right side
    520,074x = 1,249,351,649,536
  5. Step 5: Solve for x
    x = 1,249,351,649,536/520,074
  6. Step 6: Final answer
    x = 2,402,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.