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Finding the Third Proportional to 961,823 and 1,500,972

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Solution

The third proportional to 961,823 and 1,500,972 is: 2,342,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,823 : 1,500,972 = 1,500,972 : x
  2. Step 2: Convert to fraction form
    961,823/1,500,972 = 1,500,972/x
  3. Step 3: Cross multiply
    961,823x = 1,500,972 × 1,500,972
  4. Step 4: Simplify right side
    961,823x = 2,252,916,944,784
  5. Step 5: Solve for x
    x = 2,252,916,944,784/961,823
  6. Step 6: Final answer
    x = 2,342,340.48

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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.