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Finding the Third Proportional to 1,661,984 and 3,638,464

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Solution

The third proportional to 1,661,984 and 3,638,464 is: 7,965,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,984 : 3,638,464 = 3,638,464 : x
  2. Step 2: Convert to fraction form
    1,661,984/3,638,464 = 3,638,464/x
  3. Step 3: Cross multiply
    1,661,984x = 3,638,464 × 3,638,464
  4. Step 4: Simplify right side
    1,661,984x = 13,238,420,279,296
  5. Step 5: Solve for x
    x = 13,238,420,279,296/1,661,984
  6. Step 6: Final answer
    x = 7,965,431.84

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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.