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Finding the Third Proportional to 4,067,396 and 6,142,779

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Solution

The third proportional to 4,067,396 and 6,142,779 is: 9,277,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067,396 : 6,142,779 = 6,142,779 : x
  2. Step 2: Convert to fraction form
    4,067,396/6,142,779 = 6,142,779/x
  3. Step 3: Cross multiply
    4,067,396x = 6,142,779 × 6,142,779
  4. Step 4: Simplify right side
    4,067,396x = 37,733,733,842,841
  5. Step 5: Solve for x
    x = 37,733,733,842,841/4,067,396
  6. Step 6: Final answer
    x = 9,277,123.21

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Why These Related Problems?

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