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Finding the Third Proportional to 774,507.25 and 1,677,683

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Solution

The third proportional to 774,507.25 and 1,677,683 is: 3,634,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,507.25 : 1,677,683 = 1,677,683 : x
  2. Step 2: Convert to fraction form
    774,507.25/1,677,683 = 1,677,683/x
  3. Step 3: Cross multiply
    774,507.25x = 1,677,683 × 1,677,683
  4. Step 4: Simplify right side
    774,507.25x = 2,814,620,248,489
  5. Step 5: Solve for x
    x = 2,814,620,248,489/774,507.25
  6. Step 6: Final answer
    x = 3,634,078.63

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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.