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Finding the Third Proportional to 774,184.50 and 1,138,421.25

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Solution

The third proportional to 774,184.50 and 1,138,421.25 is: 1,674,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,184.50 : 1,138,421.25 = 1,138,421.25 : x
  2. Step 2: Convert to fraction form
    774,184.50/1,138,421.25 = 1,138,421.25/x
  3. Step 3: Cross multiply
    774,184.50x = 1,138,421.25 × 1,138,421.25
  4. Step 4: Simplify right side
    774,184.50x = 1,296,002,942,451.56
  5. Step 5: Solve for x
    x = 1,296,002,942,451.56/774,184.50
  6. Step 6: Final answer
    x = 1,674,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.