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Finding the Third Proportional to 622,311 and 961,101

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Solution

The third proportional to 622,311 and 961,101 is: 1,484,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,311 : 961,101 = 961,101 : x
  2. Step 2: Convert to fraction form
    622,311/961,101 = 961,101/x
  3. Step 3: Cross multiply
    622,311x = 961,101 × 961,101
  4. Step 4: Simplify right side
    622,311x = 923,715,132,201
  5. Step 5: Solve for x
    x = 923,715,132,201/622,311
  6. Step 6: Final answer
    x = 1,484,330.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.