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Finding the Third Proportional to 900,193.50 and 1,952,932.50

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Solution

The third proportional to 900,193.50 and 1,952,932.50 is: 4,236,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,193.50 : 1,952,932.50 = 1,952,932.50 : x
  2. Step 2: Convert to fraction form
    900,193.50/1,952,932.50 = 1,952,932.50/x
  3. Step 3: Cross multiply
    900,193.50x = 1,952,932.50 × 1,952,932.50
  4. Step 4: Simplify right side
    900,193.50x = 3,813,945,349,556.25
  5. Step 5: Solve for x
    x = 3,813,945,349,556.25/900,193.50
  6. Step 6: Final answer
    x = 4,236,806.14

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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.