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Finding the Third Proportional to 776,824 and 1,661,584

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Solution

The third proportional to 776,824 and 1,661,584 is: 3,554,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,824 : 1,661,584 = 1,661,584 : x
  2. Step 2: Convert to fraction form
    776,824/1,661,584 = 1,661,584/x
  3. Step 3: Cross multiply
    776,824x = 1,661,584 × 1,661,584
  4. Step 4: Simplify right side
    776,824x = 2,760,861,389,056
  5. Step 5: Solve for x
    x = 2,760,861,389,056/776,824
  6. Step 6: Final answer
    x = 3,554,037.19

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