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Finding the Third Proportional to 1,335,078 and 2,065,972

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Solution

The third proportional to 1,335,078 and 2,065,972 is: 3,196,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,078 : 2,065,972 = 2,065,972 : x
  2. Step 2: Convert to fraction form
    1,335,078/2,065,972 = 2,065,972/x
  3. Step 3: Cross multiply
    1,335,078x = 2,065,972 × 2,065,972
  4. Step 4: Simplify right side
    1,335,078x = 4,268,240,304,784
  5. Step 5: Solve for x
    x = 4,268,240,304,784/1,335,078
  6. Step 6: Final answer
    x = 3,196,996.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.