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Finding the Third Proportional to 673,944 and 1,013,652

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Solution

The third proportional to 673,944 and 1,013,652 is: 1,524,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,944 : 1,013,652 = 1,013,652 : x
  2. Step 2: Convert to fraction form
    673,944/1,013,652 = 1,013,652/x
  3. Step 3: Cross multiply
    673,944x = 1,013,652 × 1,013,652
  4. Step 4: Simplify right side
    673,944x = 1,027,490,377,104
  5. Step 5: Solve for x
    x = 1,027,490,377,104/673,944
  6. Step 6: Final answer
    x = 1,524,593.11

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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.