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Finding the Third Proportional to 384,766 and 835,246

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Solution

The third proportional to 384,766 and 835,246 is: 1,813,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,766 : 835,246 = 835,246 : x
  2. Step 2: Convert to fraction form
    384,766/835,246 = 835,246/x
  3. Step 3: Cross multiply
    384,766x = 835,246 × 835,246
  4. Step 4: Simplify right side
    384,766x = 697,635,880,516
  5. Step 5: Solve for x
    x = 697,635,880,516/384,766
  6. Step 6: Final answer
    x = 1,813,143.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.