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Finding the Third Proportional to 437,922 and 950,611.50

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Solution

The third proportional to 437,922 and 950,611.50 is: 2,063,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,922 : 950,611.50 = 950,611.50 : x
  2. Step 2: Convert to fraction form
    437,922/950,611.50 = 950,611.50/x
  3. Step 3: Cross multiply
    437,922x = 950,611.50 × 950,611.50
  4. Step 4: Simplify right side
    437,922x = 903,662,223,932.25
  5. Step 5: Solve for x
    x = 903,662,223,932.25/437,922
  6. Step 6: Final answer
    x = 2,063,523.24

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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.