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Finding the Third Proportional to 1,346,924 and 2,091,214

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Solution

The third proportional to 1,346,924 and 2,091,214 is: 3,246,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,924 : 2,091,214 = 2,091,214 : x
  2. Step 2: Convert to fraction form
    1,346,924/2,091,214 = 2,091,214/x
  3. Step 3: Cross multiply
    1,346,924x = 2,091,214 × 2,091,214
  4. Step 4: Simplify right side
    1,346,924x = 4,373,175,993,796
  5. Step 5: Solve for x
    x = 4,373,175,993,796/1,346,924
  6. Step 6: Final answer
    x = 3,246,787.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.