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Finding the Third Proportional to 774,444.75 and 1,677,600

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Solution

The third proportional to 774,444.75 and 1,677,600 is: 3,634,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,444.75 : 1,677,600 = 1,677,600 : x
  2. Step 2: Convert to fraction form
    774,444.75/1,677,600 = 1,677,600/x
  3. Step 3: Cross multiply
    774,444.75x = 1,677,600 × 1,677,600
  4. Step 4: Simplify right side
    774,444.75x = 2,814,341,760,000
  5. Step 5: Solve for x
    x = 2,814,341,760,000/774,444.75
  6. Step 6: Final answer
    x = 3,634,012.32

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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.