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Finding the Third Proportional to 1,834,824.66 and 3,972,044.78

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Solution

The third proportional to 1,834,824.66 and 3,972,044.78 is: 8,598,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,824.66 : 3,972,044.78 = 3,972,044.78 : x
  2. Step 2: Convert to fraction form
    1,834,824.66/3,972,044.78 = 3,972,044.78/x
  3. Step 3: Cross multiply
    1,834,824.66x = 3,972,044.78 × 3,972,044.78
  4. Step 4: Simplify right side
    1,834,824.66x = 15,777,139,713,224.16
  5. Step 5: Solve for x
    x = 15,777,139,713,224.16/1,834,824.66
  6. Step 6: Final answer
    x = 8,598,717.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.