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Finding the Third Proportional to 622,310 and 961,102

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Solution

The third proportional to 622,310 and 961,102 is: 1,484,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,310 : 961,102 = 961,102 : x
  2. Step 2: Convert to fraction form
    622,310/961,102 = 961,102/x
  3. Step 3: Cross multiply
    622,310x = 961,102 × 961,102
  4. Step 4: Simplify right side
    622,310x = 923,717,054,404
  5. Step 5: Solve for x
    x = 923,717,054,404/622,310
  6. Step 6: Final answer
    x = 1,484,335.87

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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.