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Finding the Third Proportional to 662,206 and 1,474,304

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Solution

The third proportional to 662,206 and 1,474,304 is: 3,282,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,206 : 1,474,304 = 1,474,304 : x
  2. Step 2: Convert to fraction form
    662,206/1,474,304 = 1,474,304/x
  3. Step 3: Cross multiply
    662,206x = 1,474,304 × 1,474,304
  4. Step 4: Simplify right side
    662,206x = 2,173,572,284,416
  5. Step 5: Solve for x
    x = 2,173,572,284,416/662,206
  6. Step 6: Final answer
    x = 3,282,320.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.