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Finding the Third Proportional to 460,469.25 and 943,071.75

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Solution

The third proportional to 460,469.25 and 943,071.75 is: 1,931,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,469.25 : 943,071.75 = 943,071.75 : x
  2. Step 2: Convert to fraction form
    460,469.25/943,071.75 = 943,071.75/x
  3. Step 3: Cross multiply
    460,469.25x = 943,071.75 × 943,071.75
  4. Step 4: Simplify right side
    460,469.25x = 889,384,325,648.06
  5. Step 5: Solve for x
    x = 889,384,325,648.06/460,469.25
  6. Step 6: Final answer
    x = 1,931,473.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.