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Finding the Third Proportional to 827,536 and 1,265,352

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Solution

The third proportional to 827,536 and 1,265,352 is: 1,934,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,536 : 1,265,352 = 1,265,352 : x
  2. Step 2: Convert to fraction form
    827,536/1,265,352 = 1,265,352/x
  3. Step 3: Cross multiply
    827,536x = 1,265,352 × 1,265,352
  4. Step 4: Simplify right side
    827,536x = 1,601,115,683,904
  5. Step 5: Solve for x
    x = 1,601,115,683,904/827,536
  6. Step 6: Final answer
    x = 1,934,798.83

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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.