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Finding the Third Proportional to 774,639.56 and 1,677,917.25

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Solution

The third proportional to 774,639.56 and 1,677,917.25 is: 3,634,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,639.56 : 1,677,917.25 = 1,677,917.25 : x
  2. Step 2: Convert to fraction form
    774,639.56/1,677,917.25 = 1,677,917.25/x
  3. Step 3: Cross multiply
    774,639.56x = 1,677,917.25 × 1,677,917.25
  4. Step 4: Simplify right side
    774,639.56x = 2,815,406,297,847.56
  5. Step 5: Solve for x
    x = 2,815,406,297,847.56/774,639.56
  6. Step 6: Final answer
    x = 3,634,472.64

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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.