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Finding the Third Proportional to 2,605,426 and 5,740,934

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Solution

The third proportional to 2,605,426 and 5,740,934 is: 12,649,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,426 : 5,740,934 = 5,740,934 : x
  2. Step 2: Convert to fraction form
    2,605,426/5,740,934 = 5,740,934/x
  3. Step 3: Cross multiply
    2,605,426x = 5,740,934 × 5,740,934
  4. Step 4: Simplify right side
    2,605,426x = 32,958,323,192,356
  5. Step 5: Solve for x
    x = 32,958,323,192,356/2,605,426
  6. Step 6: Final answer
    x = 12,649,878.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.