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Finding the Third Proportional to 467,344 and 1,016,701

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Solution

The third proportional to 467,344 and 1,016,701 is: 2,211,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,344 : 1,016,701 = 1,016,701 : x
  2. Step 2: Convert to fraction form
    467,344/1,016,701 = 1,016,701/x
  3. Step 3: Cross multiply
    467,344x = 1,016,701 × 1,016,701
  4. Step 4: Simplify right side
    467,344x = 1,033,680,923,401
  5. Step 5: Solve for x
    x = 1,033,680,923,401/467,344
  6. Step 6: Final answer
    x = 2,211,820.25

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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.