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Finding the Third Proportional to 1,541,102 and 2,454,338

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Solution

The third proportional to 1,541,102 and 2,454,338 is: 3,908,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,102 : 2,454,338 = 2,454,338 : x
  2. Step 2: Convert to fraction form
    1,541,102/2,454,338 = 2,454,338/x
  3. Step 3: Cross multiply
    1,541,102x = 2,454,338 × 2,454,338
  4. Step 4: Simplify right side
    1,541,102x = 6,023,775,018,244
  5. Step 5: Solve for x
    x = 6,023,775,018,244/1,541,102
  6. Step 6: Final answer
    x = 3,908,745.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.