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Finding the Third Proportional to 774,493.31 and 1,677,655.13

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Solution

The third proportional to 774,493.31 and 1,677,655.13 is: 3,634,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,493.31 : 1,677,655.13 = 1,677,655.13 : x
  2. Step 2: Convert to fraction form
    774,493.31/1,677,655.13 = 1,677,655.13/x
  3. Step 3: Cross multiply
    774,493.31x = 1,677,655.13 × 1,677,655.13
  4. Step 4: Simplify right side
    774,493.31x = 2,814,526,718,438.77
  5. Step 5: Solve for x
    x = 2,814,526,718,438.77/774,493.31
  6. Step 6: Final answer
    x = 3,634,023.27

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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.