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Finding the Third Proportional to 1,211,616 and 1,900,827

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Solution

The third proportional to 1,211,616 and 1,900,827 is: 2,982,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,616 : 1,900,827 = 1,900,827 : x
  2. Step 2: Convert to fraction form
    1,211,616/1,900,827 = 1,900,827/x
  3. Step 3: Cross multiply
    1,211,616x = 1,900,827 × 1,900,827
  4. Step 4: Simplify right side
    1,211,616x = 3,613,143,283,929
  5. Step 5: Solve for x
    x = 3,613,143,283,929/1,211,616
  6. Step 6: Final answer
    x = 2,982,086.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.