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Finding the Third Proportional to 419,422 and 912,571

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Solution

The third proportional to 419,422 and 912,571 is: 1,985,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,422 : 912,571 = 912,571 : x
  2. Step 2: Convert to fraction form
    419,422/912,571 = 912,571/x
  3. Step 3: Cross multiply
    419,422x = 912,571 × 912,571
  4. Step 4: Simplify right side
    419,422x = 832,785,830,041
  5. Step 5: Solve for x
    x = 832,785,830,041/419,422
  6. Step 6: Final answer
    x = 1,985,555.91

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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.