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Finding the Third Proportional to 946,857 and 1,331,824.50

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Solution

The third proportional to 946,857 and 1,331,824.50 is: 1,873,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,857 : 1,331,824.50 = 1,331,824.50 : x
  2. Step 2: Convert to fraction form
    946,857/1,331,824.50 = 1,331,824.50/x
  3. Step 3: Cross multiply
    946,857x = 1,331,824.50 × 1,331,824.50
  4. Step 4: Simplify right side
    946,857x = 1,773,756,498,800.25
  5. Step 5: Solve for x
    x = 1,773,756,498,800.25/946,857
  6. Step 6: Final answer
    x = 1,873,309.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.