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Finding the Third Proportional to 668,538 and 1,463,396

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Solution

The third proportional to 668,538 and 1,463,396 is: 3,203,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,538 : 1,463,396 = 1,463,396 : x
  2. Step 2: Convert to fraction form
    668,538/1,463,396 = 1,463,396/x
  3. Step 3: Cross multiply
    668,538x = 1,463,396 × 1,463,396
  4. Step 4: Simplify right side
    668,538x = 2,141,527,852,816
  5. Step 5: Solve for x
    x = 2,141,527,852,816/668,538
  6. Step 6: Final answer
    x = 3,203,300.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.