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Finding the Third Proportional to 766,217 and 1,625,832

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Solution

The third proportional to 766,217 and 1,625,832 is: 3,449,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,217 : 1,625,832 = 1,625,832 : x
  2. Step 2: Convert to fraction form
    766,217/1,625,832 = 1,625,832/x
  3. Step 3: Cross multiply
    766,217x = 1,625,832 × 1,625,832
  4. Step 4: Simplify right side
    766,217x = 2,643,329,692,224
  5. Step 5: Solve for x
    x = 2,643,329,692,224/766,217
  6. Step 6: Final answer
    x = 3,449,844.75

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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.