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Finding the Third Proportional to 442,341 and 959,586.75

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Solution

The third proportional to 442,341 and 959,586.75 is: 2,081,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,341 : 959,586.75 = 959,586.75 : x
  2. Step 2: Convert to fraction form
    442,341/959,586.75 = 959,586.75/x
  3. Step 3: Cross multiply
    442,341x = 959,586.75 × 959,586.75
  4. Step 4: Simplify right side
    442,341x = 920,806,730,775.56
  5. Step 5: Solve for x
    x = 920,806,730,775.56/442,341
  6. Step 6: Final answer
    x = 2,081,667.15

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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.