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Finding the Third Proportional to 763,938 and 1,663,812

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Solution

The third proportional to 763,938 and 1,663,812 is: 3,623,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,938 : 1,663,812 = 1,663,812 : x
  2. Step 2: Convert to fraction form
    763,938/1,663,812 = 1,663,812/x
  3. Step 3: Cross multiply
    763,938x = 1,663,812 × 1,663,812
  4. Step 4: Simplify right side
    763,938x = 2,768,270,371,344
  5. Step 5: Solve for x
    x = 2,768,270,371,344/763,938
  6. Step 6: Final answer
    x = 3,623,684.61

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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.