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Finding the Third Proportional to 522,366.47 and 1,131,679.48

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Solution

The third proportional to 522,366.47 and 1,131,679.48 is: 2,451,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,366.47 : 1,131,679.48 = 1,131,679.48 : x
  2. Step 2: Convert to fraction form
    522,366.47/1,131,679.48 = 1,131,679.48/x
  3. Step 3: Cross multiply
    522,366.47x = 1,131,679.48 × 1,131,679.48
  4. Step 4: Simplify right side
    522,366.47x = 1,280,698,437,672.77
  5. Step 5: Solve for x
    x = 1,280,698,437,672.77/522,366.47
  6. Step 6: Final answer
    x = 2,451,724.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.