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Finding the Third Proportional to 2,709,102 and 5,791,452

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Solution

The third proportional to 2,709,102 and 5,791,452 is: 12,380,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,102 : 5,791,452 = 5,791,452 : x
  2. Step 2: Convert to fraction form
    2,709,102/5,791,452 = 5,791,452/x
  3. Step 3: Cross multiply
    2,709,102x = 5,791,452 × 5,791,452
  4. Step 4: Simplify right side
    2,709,102x = 33,540,916,268,304
  5. Step 5: Solve for x
    x = 33,540,916,268,304/2,709,102
  6. Step 6: Final answer
    x = 12,380,824.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.