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Finding the Third Proportional to 467,033 and 989,599

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Solution

The third proportional to 467,033 and 989,599 is: 2,096,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,033 : 989,599 = 989,599 : x
  2. Step 2: Convert to fraction form
    467,033/989,599 = 989,599/x
  3. Step 3: Cross multiply
    467,033x = 989,599 × 989,599
  4. Step 4: Simplify right side
    467,033x = 979,306,180,801
  5. Step 5: Solve for x
    x = 979,306,180,801/467,033
  6. Step 6: Final answer
    x = 2,096,867.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.