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Finding the Third Proportional to 961,780 and 2,090,744

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Solution

The third proportional to 961,780 and 2,090,744 is: 4,544,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,780 : 2,090,744 = 2,090,744 : x
  2. Step 2: Convert to fraction form
    961,780/2,090,744 = 2,090,744/x
  3. Step 3: Cross multiply
    961,780x = 2,090,744 × 2,090,744
  4. Step 4: Simplify right side
    961,780x = 4,371,210,473,536
  5. Step 5: Solve for x
    x = 4,371,210,473,536/961,780
  6. Step 6: Final answer
    x = 4,544,917.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.