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Finding the Third Proportional to 1,661,986 and 3,638,468

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Solution

The third proportional to 1,661,986 and 3,638,468 is: 7,965,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,986 : 3,638,468 = 3,638,468 : x
  2. Step 2: Convert to fraction form
    1,661,986/3,638,468 = 3,638,468/x
  3. Step 3: Cross multiply
    1,661,986x = 3,638,468 × 3,638,468
  4. Step 4: Simplify right side
    1,661,986x = 13,238,449,387,024
  5. Step 5: Solve for x
    x = 13,238,449,387,024/1,661,986
  6. Step 6: Final answer
    x = 7,965,439.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.