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Finding the Third Proportional to 516,412 and 1,061,336

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Solution

The third proportional to 516,412 and 1,061,336 is: 2,181,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,412 : 1,061,336 = 1,061,336 : x
  2. Step 2: Convert to fraction form
    516,412/1,061,336 = 1,061,336/x
  3. Step 3: Cross multiply
    516,412x = 1,061,336 × 1,061,336
  4. Step 4: Simplify right side
    516,412x = 1,126,434,104,896
  5. Step 5: Solve for x
    x = 1,126,434,104,896/516,412
  6. Step 6: Final answer
    x = 2,181,270.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.