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Finding the Third Proportional to 1,843,344 and 3,775,260

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Solution

The third proportional to 1,843,344 and 3,775,260 is: 7,731,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,344 : 3,775,260 = 3,775,260 : x
  2. Step 2: Convert to fraction form
    1,843,344/3,775,260 = 3,775,260/x
  3. Step 3: Cross multiply
    1,843,344x = 3,775,260 × 3,775,260
  4. Step 4: Simplify right side
    1,843,344x = 14,252,588,067,600
  5. Step 5: Solve for x
    x = 14,252,588,067,600/1,843,344
  6. Step 6: Final answer
    x = 7,731,919.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.