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Finding the Third Proportional to 622,312 and 961,105

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Solution

The third proportional to 622,312 and 961,105 is: 1,484,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,312 : 961,105 = 961,105 : x
  2. Step 2: Convert to fraction form
    622,312/961,105 = 961,105/x
  3. Step 3: Cross multiply
    622,312x = 961,105 × 961,105
  4. Step 4: Simplify right side
    622,312x = 923,722,821,025
  5. Step 5: Solve for x
    x = 923,722,821,025/622,312
  6. Step 6: Final answer
    x = 1,484,340.36

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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.