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Finding the Third Proportional to 516,409 and 1,118,606

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Solution

The third proportional to 516,409 and 1,118,606 is: 2,423,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,409 : 1,118,606 = 1,118,606 : x
  2. Step 2: Convert to fraction form
    516,409/1,118,606 = 1,118,606/x
  3. Step 3: Cross multiply
    516,409x = 1,118,606 × 1,118,606
  4. Step 4: Simplify right side
    516,409x = 1,251,279,383,236
  5. Step 5: Solve for x
    x = 1,251,279,383,236/516,409
  6. Step 6: Final answer
    x = 2,423,039.46

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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.