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Finding the Third Proportional to 817,827 and 1,784,367

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Solution

The third proportional to 817,827 and 1,784,367 is: 3,893,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,827 : 1,784,367 = 1,784,367 : x
  2. Step 2: Convert to fraction form
    817,827/1,784,367 = 1,784,367/x
  3. Step 3: Cross multiply
    817,827x = 1,784,367 × 1,784,367
  4. Step 4: Simplify right side
    817,827x = 3,183,965,590,689
  5. Step 5: Solve for x
    x = 3,183,965,590,689/817,827
  6. Step 6: Final answer
    x = 3,893,201.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.