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Finding the Third Proportional to 467,397 and 1,016,820

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Solution

The third proportional to 467,397 and 1,016,820 is: 2,212,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,397 : 1,016,820 = 1,016,820 : x
  2. Step 2: Convert to fraction form
    467,397/1,016,820 = 1,016,820/x
  3. Step 3: Cross multiply
    467,397x = 1,016,820 × 1,016,820
  4. Step 4: Simplify right side
    467,397x = 1,033,922,912,400
  5. Step 5: Solve for x
    x = 1,033,922,912,400/467,397
  6. Step 6: Final answer
    x = 2,212,087.18

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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.