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Finding the Third Proportional to 598,516 and 997,422

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Solution

The third proportional to 598,516 and 997,422 is: 1,662,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,516 : 997,422 = 997,422 : x
  2. Step 2: Convert to fraction form
    598,516/997,422 = 997,422/x
  3. Step 3: Cross multiply
    598,516x = 997,422 × 997,422
  4. Step 4: Simplify right side
    598,516x = 994,850,646,084
  5. Step 5: Solve for x
    x = 994,850,646,084/598,516
  6. Step 6: Final answer
    x = 1,662,195.57

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.