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Finding the Third Proportional to 592,204 and 1,302,480

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Solution

The third proportional to 592,204 and 1,302,480 is: 2,864,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,204 : 1,302,480 = 1,302,480 : x
  2. Step 2: Convert to fraction form
    592,204/1,302,480 = 1,302,480/x
  3. Step 3: Cross multiply
    592,204x = 1,302,480 × 1,302,480
  4. Step 4: Simplify right side
    592,204x = 1,696,454,150,400
  5. Step 5: Solve for x
    x = 1,696,454,150,400/592,204
  6. Step 6: Final answer
    x = 2,864,644.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.