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Finding the Third Proportional to 516,143 and 1,214,524

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Solution

The third proportional to 516,143 and 1,214,524 is: 2,857,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,143 : 1,214,524 = 1,214,524 : x
  2. Step 2: Convert to fraction form
    516,143/1,214,524 = 1,214,524/x
  3. Step 3: Cross multiply
    516,143x = 1,214,524 × 1,214,524
  4. Step 4: Simplify right side
    516,143x = 1,475,068,546,576
  5. Step 5: Solve for x
    x = 1,475,068,546,576/516,143
  6. Step 6: Final answer
    x = 2,857,867.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.