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Finding the Third Proportional to 774,505.50 and 1,677,678

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Solution

The third proportional to 774,505.50 and 1,677,678 is: 3,634,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,505.50 : 1,677,678 = 1,677,678 : x
  2. Step 2: Convert to fraction form
    774,505.50/1,677,678 = 1,677,678/x
  3. Step 3: Cross multiply
    774,505.50x = 1,677,678 × 1,677,678
  4. Step 4: Simplify right side
    774,505.50x = 2,814,603,471,684
  5. Step 5: Solve for x
    x = 2,814,603,471,684/774,505.50
  6. Step 6: Final answer
    x = 3,634,065.18

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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.