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Finding the Third Proportional to 467,406 and 1,016,703

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Solution

The third proportional to 467,406 and 1,016,703 is: 2,211,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,406 : 1,016,703 = 1,016,703 : x
  2. Step 2: Convert to fraction form
    467,406/1,016,703 = 1,016,703/x
  3. Step 3: Cross multiply
    467,406x = 1,016,703 × 1,016,703
  4. Step 4: Simplify right side
    467,406x = 1,033,684,990,209
  5. Step 5: Solve for x
    x = 1,033,684,990,209/467,406
  6. Step 6: Final answer
    x = 2,211,535.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.