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Finding the Third Proportional to 673,932 and 1,013,634

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Solution

The third proportional to 673,932 and 1,013,634 is: 1,524,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,932 : 1,013,634 = 1,013,634 : x
  2. Step 2: Convert to fraction form
    673,932/1,013,634 = 1,013,634/x
  3. Step 3: Cross multiply
    673,932x = 1,013,634 × 1,013,634
  4. Step 4: Simplify right side
    673,932x = 1,027,453,885,956
  5. Step 5: Solve for x
    x = 1,027,453,885,956/673,932
  6. Step 6: Final answer
    x = 1,524,566.11

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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.