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Finding the Third Proportional to 720,496 and 1,667,968

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Solution

The third proportional to 720,496 and 1,667,968 is: 3,861,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,496 : 1,667,968 = 1,667,968 : x
  2. Step 2: Convert to fraction form
    720,496/1,667,968 = 1,667,968/x
  3. Step 3: Cross multiply
    720,496x = 1,667,968 × 1,667,968
  4. Step 4: Simplify right side
    720,496x = 2,782,117,249,024
  5. Step 5: Solve for x
    x = 2,782,117,249,024/720,496
  6. Step 6: Final answer
    x = 3,861,391.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.