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Finding the Third Proportional to 827,532 and 1,265,346

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Solution

The third proportional to 827,532 and 1,265,346 is: 1,934,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,532 : 1,265,346 = 1,265,346 : x
  2. Step 2: Convert to fraction form
    827,532/1,265,346 = 1,265,346/x
  3. Step 3: Cross multiply
    827,532x = 1,265,346 × 1,265,346
  4. Step 4: Simplify right side
    827,532x = 1,601,100,499,716
  5. Step 5: Solve for x
    x = 1,601,100,499,716/827,532
  6. Step 6: Final answer
    x = 1,934,789.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.