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Finding the Third Proportional to 667,731 and 1,574,682

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Solution

The third proportional to 667,731 and 1,574,682 is: 3,713,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,731 : 1,574,682 = 1,574,682 : x
  2. Step 2: Convert to fraction form
    667,731/1,574,682 = 1,574,682/x
  3. Step 3: Cross multiply
    667,731x = 1,574,682 × 1,574,682
  4. Step 4: Simplify right side
    667,731x = 2,479,623,401,124
  5. Step 5: Solve for x
    x = 2,479,623,401,124/667,731
  6. Step 6: Final answer
    x = 3,713,506.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.