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Finding the Third Proportional to 645,474 and 1,364,823

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Solution

The third proportional to 645,474 and 1,364,823 is: 2,885,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,474 : 1,364,823 = 1,364,823 : x
  2. Step 2: Convert to fraction form
    645,474/1,364,823 = 1,364,823/x
  3. Step 3: Cross multiply
    645,474x = 1,364,823 × 1,364,823
  4. Step 4: Simplify right side
    645,474x = 1,862,741,821,329
  5. Step 5: Solve for x
    x = 1,862,741,821,329/645,474
  6. Step 6: Final answer
    x = 2,885,851.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.