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Finding the Third Proportional to 812,234 and 1,786,468

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Solution

The third proportional to 812,234 and 1,786,468 is: 3,929,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,234 : 1,786,468 = 1,786,468 : x
  2. Step 2: Convert to fraction form
    812,234/1,786,468 = 1,786,468/x
  3. Step 3: Cross multiply
    812,234x = 1,786,468 × 1,786,468
  4. Step 4: Simplify right side
    812,234x = 3,191,467,915,024
  5. Step 5: Solve for x
    x = 3,191,467,915,024/812,234
  6. Step 6: Final answer
    x = 3,929,246.89

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