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Finding the Third Proportional to 773,992 and 1,138,239

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Solution

The third proportional to 773,992 and 1,138,239 is: 1,673,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,992 : 1,138,239 = 1,138,239 : x
  2. Step 2: Convert to fraction form
    773,992/1,138,239 = 1,138,239/x
  3. Step 3: Cross multiply
    773,992x = 1,138,239 × 1,138,239
  4. Step 4: Simplify right side
    773,992x = 1,295,588,021,121
  5. Step 5: Solve for x
    x = 1,295,588,021,121/773,992
  6. Step 6: Final answer
    x = 1,673,903.63

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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.