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Finding the Third Proportional to 828,384 and 1,811,832

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Solution

The third proportional to 828,384 and 1,811,832 is: 3,962,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,384 : 1,811,832 = 1,811,832 : x
  2. Step 2: Convert to fraction form
    828,384/1,811,832 = 1,811,832/x
  3. Step 3: Cross multiply
    828,384x = 1,811,832 × 1,811,832
  4. Step 4: Simplify right side
    828,384x = 3,282,735,196,224
  5. Step 5: Solve for x
    x = 3,282,735,196,224/828,384
  6. Step 6: Final answer
    x = 3,962,818.21

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Why These Related Problems?

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