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Finding the Third Proportional to 674,004 and 1,013,742

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Solution

The third proportional to 674,004 and 1,013,742 is: 1,524,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,004 : 1,013,742 = 1,013,742 : x
  2. Step 2: Convert to fraction form
    674,004/1,013,742 = 1,013,742/x
  3. Step 3: Cross multiply
    674,004x = 1,013,742 × 1,013,742
  4. Step 4: Simplify right side
    674,004x = 1,027,672,842,564
  5. Step 5: Solve for x
    x = 1,027,672,842,564/674,004
  6. Step 6: Final answer
    x = 1,524,728.11

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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.