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Finding the Third Proportional to 1,544,106 and 2,227,578

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Solution

The third proportional to 1,544,106 and 2,227,578 is: 3,213,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544,106 : 2,227,578 = 2,227,578 : x
  2. Step 2: Convert to fraction form
    1,544,106/2,227,578 = 2,227,578/x
  3. Step 3: Cross multiply
    1,544,106x = 2,227,578 × 2,227,578
  4. Step 4: Simplify right side
    1,544,106x = 4,962,103,746,084
  5. Step 5: Solve for x
    x = 4,962,103,746,084/1,544,106
  6. Step 6: Final answer
    x = 3,213,577.14

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.