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Finding the Third Proportional to 783,966 and 1,717,392

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Solution

The third proportional to 783,966 and 1,717,392 is: 3,762,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,966 : 1,717,392 = 1,717,392 : x
  2. Step 2: Convert to fraction form
    783,966/1,717,392 = 1,717,392/x
  3. Step 3: Cross multiply
    783,966x = 1,717,392 × 1,717,392
  4. Step 4: Simplify right side
    783,966x = 2,949,435,281,664
  5. Step 5: Solve for x
    x = 2,949,435,281,664/783,966
  6. Step 6: Final answer
    x = 3,762,197.95

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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.