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Finding the Third Proportional to 774,690 and 1,661,444

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Solution

The third proportional to 774,690 and 1,661,444 is: 3,563,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,690 : 1,661,444 = 1,661,444 : x
  2. Step 2: Convert to fraction form
    774,690/1,661,444 = 1,661,444/x
  3. Step 3: Cross multiply
    774,690x = 1,661,444 × 1,661,444
  4. Step 4: Simplify right side
    774,690x = 2,760,396,165,136
  5. Step 5: Solve for x
    x = 2,760,396,165,136/774,690
  6. Step 6: Final answer
    x = 3,563,226.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.