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Finding the Third Proportional to 667,314 and 1,006,731

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Solution

The third proportional to 667,314 and 1,006,731 is: 1,518,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,314 : 1,006,731 = 1,006,731 : x
  2. Step 2: Convert to fraction form
    667,314/1,006,731 = 1,006,731/x
  3. Step 3: Cross multiply
    667,314x = 1,006,731 × 1,006,731
  4. Step 4: Simplify right side
    667,314x = 1,013,507,306,361
  5. Step 5: Solve for x
    x = 1,013,507,306,361/667,314
  6. Step 6: Final answer
    x = 1,518,786.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.