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Finding the Third Proportional to 1,647,224 and 3,609,376

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Solution

The third proportional to 1,647,224 and 3,609,376 is: 7,908,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,224 : 3,609,376 = 3,609,376 : x
  2. Step 2: Convert to fraction form
    1,647,224/3,609,376 = 3,609,376/x
  3. Step 3: Cross multiply
    1,647,224x = 3,609,376 × 3,609,376
  4. Step 4: Simplify right side
    1,647,224x = 13,027,595,109,376
  5. Step 5: Solve for x
    x = 13,027,595,109,376/1,647,224
  6. Step 6: Final answer
    x = 7,908,818.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.