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Finding the Third Proportional to 1,009,984 and 2,177,408

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Solution

The third proportional to 1,009,984 and 2,177,408 is: 4,694,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,984 : 2,177,408 = 2,177,408 : x
  2. Step 2: Convert to fraction form
    1,009,984/2,177,408 = 2,177,408/x
  3. Step 3: Cross multiply
    1,009,984x = 2,177,408 × 2,177,408
  4. Step 4: Simplify right side
    1,009,984x = 4,741,105,598,464
  5. Step 5: Solve for x
    x = 4,741,105,598,464/1,009,984
  6. Step 6: Final answer
    x = 4,694,238.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.