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Finding the Third Proportional to 2,037,987 and 4,164,462

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Solution

The third proportional to 2,037,987 and 4,164,462 is: 8,509,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,987 : 4,164,462 = 4,164,462 : x
  2. Step 2: Convert to fraction form
    2,037,987/4,164,462 = 4,164,462/x
  3. Step 3: Cross multiply
    2,037,987x = 4,164,462 × 4,164,462
  4. Step 4: Simplify right side
    2,037,987x = 17,342,743,749,444
  5. Step 5: Solve for x
    x = 17,342,743,749,444/2,037,987
  6. Step 6: Final answer
    x = 8,509,742.09

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.