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Finding the Third Proportional to 428,555.75 and 921,607.75

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Solution

The third proportional to 428,555.75 and 921,607.75 is: 1,981,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,555.75 : 921,607.75 = 921,607.75 : x
  2. Step 2: Convert to fraction form
    428,555.75/921,607.75 = 921,607.75/x
  3. Step 3: Cross multiply
    428,555.75x = 921,607.75 × 921,607.75
  4. Step 4: Simplify right side
    428,555.75x = 849,360,844,860.06
  5. Step 5: Solve for x
    x = 849,360,844,860.06/428,555.75
  6. Step 6: Final answer
    x = 1,981,914.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.