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Finding the Third Proportional to 3,016,435.50 and 3,873,022.50

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Solution

The third proportional to 3,016,435.50 and 3,873,022.50 is: 4,972,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,435.50 : 3,873,022.50 = 3,873,022.50 : x
  2. Step 2: Convert to fraction form
    3,016,435.50/3,873,022.50 = 3,873,022.50/x
  3. Step 3: Cross multiply
    3,016,435.50x = 3,873,022.50 × 3,873,022.50
  4. Step 4: Simplify right side
    3,016,435.50x = 15,000,303,285,506.25
  5. Step 5: Solve for x
    x = 15,000,303,285,506.25/3,016,435.50
  6. Step 6: Final answer
    x = 4,972,857.30

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.