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Finding the Third Proportional to 851,508 and 1,813,376.25

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Solution

The third proportional to 851,508 and 1,813,376.25 is: 3,861,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,508 : 1,813,376.25 = 1,813,376.25 : x
  2. Step 2: Convert to fraction form
    851,508/1,813,376.25 = 1,813,376.25/x
  3. Step 3: Cross multiply
    851,508x = 1,813,376.25 × 1,813,376.25
  4. Step 4: Simplify right side
    851,508x = 3,288,333,424,064.06
  5. Step 5: Solve for x
    x = 3,288,333,424,064.06/851,508
  6. Step 6: Final answer
    x = 3,861,776.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.