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Finding the Third Proportional to 784,868 and 1,663,232

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Solution

The third proportional to 784,868 and 1,663,232 is: 3,524,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,868 : 1,663,232 = 1,663,232 : x
  2. Step 2: Convert to fraction form
    784,868/1,663,232 = 1,663,232/x
  3. Step 3: Cross multiply
    784,868x = 1,663,232 × 1,663,232
  4. Step 4: Simplify right side
    784,868x = 2,766,340,685,824
  5. Step 5: Solve for x
    x = 2,766,340,685,824/784,868
  6. Step 6: Final answer
    x = 3,524,593.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.