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Finding the Third Proportional to 421,833.75 and 928,086

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Solution

The third proportional to 421,833.75 and 928,086 is: 2,041,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,833.75 : 928,086 = 928,086 : x
  2. Step 2: Convert to fraction form
    421,833.75/928,086 = 928,086/x
  3. Step 3: Cross multiply
    421,833.75x = 928,086 × 928,086
  4. Step 4: Simplify right side
    421,833.75x = 861,343,623,396
  5. Step 5: Solve for x
    x = 861,343,623,396/421,833.75
  6. Step 6: Final answer
    x = 2,041,903.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.