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Finding the Third Proportional to 776,884 and 1,661,708

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Solution

The third proportional to 776,884 and 1,661,708 is: 3,554,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,884 : 1,661,708 = 1,661,708 : x
  2. Step 2: Convert to fraction form
    776,884/1,661,708 = 1,661,708/x
  3. Step 3: Cross multiply
    776,884x = 1,661,708 × 1,661,708
  4. Step 4: Simplify right side
    776,884x = 2,761,273,477,264
  5. Step 5: Solve for x
    x = 2,761,273,477,264/776,884
  6. Step 6: Final answer
    x = 3,554,293.15

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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.