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Finding the Third Proportional to 2,056,081 and 4,455,386

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Solution

The third proportional to 2,056,081 and 4,455,386 is: 9,654,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,081 : 4,455,386 = 4,455,386 : x
  2. Step 2: Convert to fraction form
    2,056,081/4,455,386 = 4,455,386/x
  3. Step 3: Cross multiply
    2,056,081x = 4,455,386 × 4,455,386
  4. Step 4: Simplify right side
    2,056,081x = 19,850,464,408,996
  5. Step 5: Solve for x
    x = 19,850,464,408,996/2,056,081
  6. Step 6: Final answer
    x = 9,654,514.78

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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.