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Finding the Third Proportional to 702,143.44 and 1,510,938.56

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Solution

The third proportional to 702,143.44 and 1,510,938.56 is: 3,251,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,143.44 : 1,510,938.56 = 1,510,938.56 : x
  2. Step 2: Convert to fraction form
    702,143.44/1,510,938.56 = 1,510,938.56/x
  3. Step 3: Cross multiply
    702,143.44x = 1,510,938.56 × 1,510,938.56
  4. Step 4: Simplify right side
    702,143.44x = 2,282,935,339,649.57
  5. Step 5: Solve for x
    x = 2,282,935,339,649.57/702,143.44
  6. Step 6: Final answer
    x = 3,251,380.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.