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Finding the Third Proportional to 674,960 and 1,425,812

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Solution

The third proportional to 674,960 and 1,425,812 is: 3,011,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,960 : 1,425,812 = 1,425,812 : x
  2. Step 2: Convert to fraction form
    674,960/1,425,812 = 1,425,812/x
  3. Step 3: Cross multiply
    674,960x = 1,425,812 × 1,425,812
  4. Step 4: Simplify right side
    674,960x = 2,032,939,859,344
  5. Step 5: Solve for x
    x = 2,032,939,859,344/674,960
  6. Step 6: Final answer
    x = 3,011,941.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.