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Finding the Third Proportional to 616,867 and 942,796

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Solution

The third proportional to 616,867 and 942,796 is: 1,440,933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,867 : 942,796 = 942,796 : x
  2. Step 2: Convert to fraction form
    616,867/942,796 = 942,796/x
  3. Step 3: Cross multiply
    616,867x = 942,796 × 942,796
  4. Step 4: Simplify right side
    616,867x = 888,864,297,616
  5. Step 5: Solve for x
    x = 888,864,297,616/616,867
  6. Step 6: Final answer
    x = 1,440,933.46

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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.