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Finding the Third Proportional to 912,771 and 2,035,422

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Solution

The third proportional to 912,771 and 2,035,422 is: 4,538,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,771 : 2,035,422 = 2,035,422 : x
  2. Step 2: Convert to fraction form
    912,771/2,035,422 = 2,035,422/x
  3. Step 3: Cross multiply
    912,771x = 2,035,422 × 2,035,422
  4. Step 4: Simplify right side
    912,771x = 4,142,942,718,084
  5. Step 5: Solve for x
    x = 4,142,942,718,084/912,771
  6. Step 6: Final answer
    x = 4,538,863.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.