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Finding the Third Proportional to 614,086 and 1,332,543

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Solution

The third proportional to 614,086 and 1,332,543 is: 2,891,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,086 : 1,332,543 = 1,332,543 : x
  2. Step 2: Convert to fraction form
    614,086/1,332,543 = 1,332,543/x
  3. Step 3: Cross multiply
    614,086x = 1,332,543 × 1,332,543
  4. Step 4: Simplify right side
    614,086x = 1,775,670,846,849
  5. Step 5: Solve for x
    x = 1,775,670,846,849/614,086
  6. Step 6: Final answer
    x = 2,891,567.06

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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.