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Finding the Third Proportional to 709,704 and 1,512,315

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Solution

The third proportional to 709,704 and 1,512,315 is: 3,222,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,704 : 1,512,315 = 1,512,315 : x
  2. Step 2: Convert to fraction form
    709,704/1,512,315 = 1,512,315/x
  3. Step 3: Cross multiply
    709,704x = 1,512,315 × 1,512,315
  4. Step 4: Simplify right side
    709,704x = 2,287,096,659,225
  5. Step 5: Solve for x
    x = 2,287,096,659,225/709,704
  6. Step 6: Final answer
    x = 3,222,606.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.