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Finding the Third Proportional to 774,625 and 1,184,233

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Solution

The third proportional to 774,625 and 1,184,233 is: 1,810,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,625 : 1,184,233 = 1,184,233 : x
  2. Step 2: Convert to fraction form
    774,625/1,184,233 = 1,184,233/x
  3. Step 3: Cross multiply
    774,625x = 1,184,233 × 1,184,233
  4. Step 4: Simplify right side
    774,625x = 1,402,407,798,289
  5. Step 5: Solve for x
    x = 1,402,407,798,289/774,625
  6. Step 6: Final answer
    x = 1,810,434.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.