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Finding the Third Proportional to 961,056 and 1,384,368

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Solution

The third proportional to 961,056 and 1,384,368 is: 1,994,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,056 : 1,384,368 = 1,384,368 : x
  2. Step 2: Convert to fraction form
    961,056/1,384,368 = 1,384,368/x
  3. Step 3: Cross multiply
    961,056x = 1,384,368 × 1,384,368
  4. Step 4: Simplify right side
    961,056x = 1,916,474,759,424
  5. Step 5: Solve for x
    x = 1,916,474,759,424/961,056
  6. Step 6: Final answer
    x = 1,994,134.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.