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Finding the Third Proportional to 4,201,205 and 6,340,377

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Solution

The third proportional to 4,201,205 and 6,340,377 is: 9,568,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,205 : 6,340,377 = 6,340,377 : x
  2. Step 2: Convert to fraction form
    4,201,205/6,340,377 = 6,340,377/x
  3. Step 3: Cross multiply
    4,201,205x = 6,340,377 × 6,340,377
  4. Step 4: Simplify right side
    4,201,205x = 40,200,380,502,129
  5. Step 5: Solve for x
    x = 40,200,380,502,129/4,201,205
  6. Step 6: Final answer
    x = 9,568,773.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.