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Finding the Third Proportional to 819,215 and 1,782,225

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Solution

The third proportional to 819,215 and 1,782,225 is: 3,877,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,215 : 1,782,225 = 1,782,225 : x
  2. Step 2: Convert to fraction form
    819,215/1,782,225 = 1,782,225/x
  3. Step 3: Cross multiply
    819,215x = 1,782,225 × 1,782,225
  4. Step 4: Simplify right side
    819,215x = 3,176,325,950,625
  5. Step 5: Solve for x
    x = 3,176,325,950,625/819,215
  6. Step 6: Final answer
    x = 3,877,280.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.