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Finding the Third Proportional to 943,280 and 1,941,856

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Solution

The third proportional to 943,280 and 1,941,856 is: 3,997,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,280 : 1,941,856 = 1,941,856 : x
  2. Step 2: Convert to fraction form
    943,280/1,941,856 = 1,941,856/x
  3. Step 3: Cross multiply
    943,280x = 1,941,856 × 1,941,856
  4. Step 4: Simplify right side
    943,280x = 3,770,804,724,736
  5. Step 5: Solve for x
    x = 3,770,804,724,736/943,280
  6. Step 6: Final answer
    x = 3,997,545.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.