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Finding the Third Proportional to 1,109,408 and 2,271,392

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Solution

The third proportional to 1,109,408 and 2,271,392 is: 4,650,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,408 : 2,271,392 = 2,271,392 : x
  2. Step 2: Convert to fraction form
    1,109,408/2,271,392 = 2,271,392/x
  3. Step 3: Cross multiply
    1,109,408x = 2,271,392 × 2,271,392
  4. Step 4: Simplify right side
    1,109,408x = 5,159,221,617,664
  5. Step 5: Solve for x
    x = 5,159,221,617,664/1,109,408
  6. Step 6: Final answer
    x = 4,650,427.63

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.