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Finding the Third Proportional to 592,622 and 941,422

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Solution

The third proportional to 592,622 and 941,422 is: 1,495,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,622 : 941,422 = 941,422 : x
  2. Step 2: Convert to fraction form
    592,622/941,422 = 941,422/x
  3. Step 3: Cross multiply
    592,622x = 941,422 × 941,422
  4. Step 4: Simplify right side
    592,622x = 886,275,382,084
  5. Step 5: Solve for x
    x = 886,275,382,084/592,622
  6. Step 6: Final answer
    x = 1,495,515.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.