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Finding the Third Proportional to 827,344 and 1,265,072

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Solution

The third proportional to 827,344 and 1,265,072 is: 1,934,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,344 : 1,265,072 = 1,265,072 : x
  2. Step 2: Convert to fraction form
    827,344/1,265,072 = 1,265,072/x
  3. Step 3: Cross multiply
    827,344x = 1,265,072 × 1,265,072
  4. Step 4: Simplify right side
    827,344x = 1,600,407,165,184
  5. Step 5: Solve for x
    x = 1,600,407,165,184/827,344
  6. Step 6: Final answer
    x = 1,934,391.46

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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.