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Finding the Third Proportional to 666,474 and 1,032,273

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Solution

The third proportional to 666,474 and 1,032,273 is: 1,598,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,474 : 1,032,273 = 1,032,273 : x
  2. Step 2: Convert to fraction form
    666,474/1,032,273 = 1,032,273/x
  3. Step 3: Cross multiply
    666,474x = 1,032,273 × 1,032,273
  4. Step 4: Simplify right side
    666,474x = 1,065,587,546,529
  5. Step 5: Solve for x
    x = 1,065,587,546,529/666,474
  6. Step 6: Final answer
    x = 1,598,843.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.