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Finding the Third Proportional to 1,645,144 and 2,241,228

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Solution

The third proportional to 1,645,144 and 2,241,228 is: 3,053,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,144 : 2,241,228 = 2,241,228 : x
  2. Step 2: Convert to fraction form
    1,645,144/2,241,228 = 2,241,228/x
  3. Step 3: Cross multiply
    1,645,144x = 2,241,228 × 2,241,228
  4. Step 4: Simplify right side
    1,645,144x = 5,023,102,947,984
  5. Step 5: Solve for x
    x = 5,023,102,947,984/1,645,144
  6. Step 6: Final answer
    x = 3,053,290.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.