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Finding the Third Proportional to 817,245 and 1,732,782

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Solution

The third proportional to 817,245 and 1,732,782 is: 3,673,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,245 : 1,732,782 = 1,732,782 : x
  2. Step 2: Convert to fraction form
    817,245/1,732,782 = 1,732,782/x
  3. Step 3: Cross multiply
    817,245x = 1,732,782 × 1,732,782
  4. Step 4: Simplify right side
    817,245x = 3,002,533,459,524
  5. Step 5: Solve for x
    x = 3,002,533,459,524/817,245
  6. Step 6: Final answer
    x = 3,673,969.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.