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Finding the Third Proportional to 1,016,007 and 2,171,982

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Solution

The third proportional to 1,016,007 and 2,171,982 is: 4,643,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,007 : 2,171,982 = 2,171,982 : x
  2. Step 2: Convert to fraction form
    1,016,007/2,171,982 = 2,171,982/x
  3. Step 3: Cross multiply
    1,016,007x = 2,171,982 × 2,171,982
  4. Step 4: Simplify right side
    1,016,007x = 4,717,505,808,324
  5. Step 5: Solve for x
    x = 4,717,505,808,324/1,016,007
  6. Step 6: Final answer
    x = 4,643,182.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.