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Finding the Third Proportional to 2,056,286 and 4,455,794

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Solution

The third proportional to 2,056,286 and 4,455,794 is: 9,655,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,286 : 4,455,794 = 4,455,794 : x
  2. Step 2: Convert to fraction form
    2,056,286/4,455,794 = 4,455,794/x
  3. Step 3: Cross multiply
    2,056,286x = 4,455,794 × 4,455,794
  4. Step 4: Simplify right side
    2,056,286x = 19,854,100,170,436
  5. Step 5: Solve for x
    x = 19,854,100,170,436/2,056,286
  6. Step 6: Final answer
    x = 9,655,320.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.