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Finding the Third Proportional to 423,922.50 and 921,471.75

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Solution

The third proportional to 423,922.50 and 921,471.75 is: 2,002,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,922.50 : 921,471.75 = 921,471.75 : x
  2. Step 2: Convert to fraction form
    423,922.50/921,471.75 = 921,471.75/x
  3. Step 3: Cross multiply
    423,922.50x = 921,471.75 × 921,471.75
  4. Step 4: Simplify right side
    423,922.50x = 849,110,186,048.06
  5. Step 5: Solve for x
    x = 849,110,186,048.06/423,922.50
  6. Step 6: Final answer
    x = 2,002,984.47

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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.