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Finding the Third Proportional to 5,289,462 and 7,856,424

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Solution

The third proportional to 5,289,462 and 7,856,424 is: 11,669,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289,462 : 7,856,424 = 7,856,424 : x
  2. Step 2: Convert to fraction form
    5,289,462/7,856,424 = 7,856,424/x
  3. Step 3: Cross multiply
    5,289,462x = 7,856,424 × 7,856,424
  4. Step 4: Simplify right side
    5,289,462x = 61,723,398,067,776
  5. Step 5: Solve for x
    x = 61,723,398,067,776/5,289,462
  6. Step 6: Final answer
    x = 11,669,125.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.