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Finding the Third Proportional to 774,656.25 and 1,677,954

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Solution

The third proportional to 774,656.25 and 1,677,954 is: 3,634,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,656.25 : 1,677,954 = 1,677,954 : x
  2. Step 2: Convert to fraction form
    774,656.25/1,677,954 = 1,677,954/x
  3. Step 3: Cross multiply
    774,656.25x = 1,677,954 × 1,677,954
  4. Step 4: Simplify right side
    774,656.25x = 2,815,529,626,116
  5. Step 5: Solve for x
    x = 2,815,529,626,116/774,656.25
  6. Step 6: Final answer
    x = 3,634,553.55

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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.