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Finding the Third Proportional to 622,406 and 961,239

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Solution

The third proportional to 622,406 and 961,239 is: 1,484,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,406 : 961,239 = 961,239 : x
  2. Step 2: Convert to fraction form
    622,406/961,239 = 961,239/x
  3. Step 3: Cross multiply
    622,406x = 961,239 × 961,239
  4. Step 4: Simplify right side
    622,406x = 923,980,415,121
  5. Step 5: Solve for x
    x = 923,980,415,121/622,406
  6. Step 6: Final answer
    x = 1,484,530.06

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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.