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Finding the Third Proportional to 419,406 and 912,540

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Solution

The third proportional to 419,406 and 912,540 is: 1,985,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,406 : 912,540 = 912,540 : x
  2. Step 2: Convert to fraction form
    419,406/912,540 = 912,540/x
  3. Step 3: Cross multiply
    419,406x = 912,540 × 912,540
  4. Step 4: Simplify right side
    419,406x = 832,729,251,600
  5. Step 5: Solve for x
    x = 832,729,251,600/419,406
  6. Step 6: Final answer
    x = 1,985,496.75

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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.