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Finding the Third Proportional to 596,489 and 903,422

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Solution

The third proportional to 596,489 and 903,422 is: 1,368,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,489 : 903,422 = 903,422 : x
  2. Step 2: Convert to fraction form
    596,489/903,422 = 903,422/x
  3. Step 3: Cross multiply
    596,489x = 903,422 × 903,422
  4. Step 4: Simplify right side
    596,489x = 816,171,310,084
  5. Step 5: Solve for x
    x = 816,171,310,084/596,489
  6. Step 6: Final answer
    x = 1,368,292.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.