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Finding the Third Proportional to 1,538,894 and 2,640,482

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Solution

The third proportional to 1,538,894 and 2,640,482 is: 4,530,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,894 : 2,640,482 = 2,640,482 : x
  2. Step 2: Convert to fraction form
    1,538,894/2,640,482 = 2,640,482/x
  3. Step 3: Cross multiply
    1,538,894x = 2,640,482 × 2,640,482
  4. Step 4: Simplify right side
    1,538,894x = 6,972,145,192,324
  5. Step 5: Solve for x
    x = 6,972,145,192,324/1,538,894
  6. Step 6: Final answer
    x = 4,530,620.82

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.