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Finding the Third Proportional to 482,081 and 920,422

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Solution

The third proportional to 482,081 and 920,422 is: 1,757,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,081 : 920,422 = 920,422 : x
  2. Step 2: Convert to fraction form
    482,081/920,422 = 920,422/x
  3. Step 3: Cross multiply
    482,081x = 920,422 × 920,422
  4. Step 4: Simplify right side
    482,081x = 847,176,658,084
  5. Step 5: Solve for x
    x = 847,176,658,084/482,081
  6. Step 6: Final answer
    x = 1,757,332.60

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.