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Finding the Third Proportional to 2,037,175.31 and 4,241,701.69

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Solution

The third proportional to 2,037,175.31 and 4,241,701.69 is: 8,831,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,175.31 : 4,241,701.69 = 4,241,701.69 : x
  2. Step 2: Convert to fraction form
    2,037,175.31/4,241,701.69 = 4,241,701.69/x
  3. Step 3: Cross multiply
    2,037,175.31x = 4,241,701.69 × 4,241,701.69
  4. Step 4: Simplify right side
    2,037,175.31x = 17,992,033,205,740.35
  5. Step 5: Solve for x
    x = 17,992,033,205,740.35/2,037,175.31
  6. Step 6: Final answer
    x = 8,831,853.15

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.