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Finding the Third Proportional to 961,834 and 1,500,976

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Solution

The third proportional to 961,834 and 1,500,976 is: 2,342,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,834 : 1,500,976 = 1,500,976 : x
  2. Step 2: Convert to fraction form
    961,834/1,500,976 = 1,500,976/x
  3. Step 3: Cross multiply
    961,834x = 1,500,976 × 1,500,976
  4. Step 4: Simplify right side
    961,834x = 2,252,928,952,576
  5. Step 5: Solve for x
    x = 2,252,928,952,576/961,834
  6. Step 6: Final answer
    x = 2,342,326.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.