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Finding the Third Proportional to 674,006 and 1,013,745

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Solution

The third proportional to 674,006 and 1,013,745 is: 1,524,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,006 : 1,013,745 = 1,013,745 : x
  2. Step 2: Convert to fraction form
    674,006/1,013,745 = 1,013,745/x
  3. Step 3: Cross multiply
    674,006x = 1,013,745 × 1,013,745
  4. Step 4: Simplify right side
    674,006x = 1,027,678,925,025
  5. Step 5: Solve for x
    x = 1,027,678,925,025/674,006
  6. Step 6: Final answer
    x = 1,524,732.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.