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Finding the Third Proportional to 683,524 and 1,468,232

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Solution

The third proportional to 683,524 and 1,468,232 is: 3,153,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,524 : 1,468,232 = 1,468,232 : x
  2. Step 2: Convert to fraction form
    683,524/1,468,232 = 1,468,232/x
  3. Step 3: Cross multiply
    683,524x = 1,468,232 × 1,468,232
  4. Step 4: Simplify right side
    683,524x = 2,155,705,205,824
  5. Step 5: Solve for x
    x = 2,155,705,205,824/683,524
  6. Step 6: Final answer
    x = 3,153,810.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.