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Finding the Third Proportional to 754,012 and 1,595,288

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Solution

The third proportional to 754,012 and 1,595,288 is: 3,375,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,012 : 1,595,288 = 1,595,288 : x
  2. Step 2: Convert to fraction form
    754,012/1,595,288 = 1,595,288/x
  3. Step 3: Cross multiply
    754,012x = 1,595,288 × 1,595,288
  4. Step 4: Simplify right side
    754,012x = 2,544,943,802,944
  5. Step 5: Solve for x
    x = 2,544,943,802,944/754,012
  6. Step 6: Final answer
    x = 3,375,203.32

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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.