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Finding the Third Proportional to 678,962 and 1,488,496

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Solution

The third proportional to 678,962 and 1,488,496 is: 3,263,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,962 : 1,488,496 = 1,488,496 : x
  2. Step 2: Convert to fraction form
    678,962/1,488,496 = 1,488,496/x
  3. Step 3: Cross multiply
    678,962x = 1,488,496 × 1,488,496
  4. Step 4: Simplify right side
    678,962x = 2,215,620,342,016
  5. Step 5: Solve for x
    x = 2,215,620,342,016/678,962
  6. Step 6: Final answer
    x = 3,263,246.46

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