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Finding the Third Proportional to 2,109,972 and 3,271,986

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Solution

The third proportional to 2,109,972 and 3,271,986 is: 5,073,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,972 : 3,271,986 = 3,271,986 : x
  2. Step 2: Convert to fraction form
    2,109,972/3,271,986 = 3,271,986/x
  3. Step 3: Cross multiply
    2,109,972x = 3,271,986 × 3,271,986
  4. Step 4: Simplify right side
    2,109,972x = 10,705,892,384,196
  5. Step 5: Solve for x
    x = 10,705,892,384,196/2,109,972
  6. Step 6: Final answer
    x = 5,073,949.98

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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.