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Finding the Third Proportional to 622,120 and 965,148

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Solution

The third proportional to 622,120 and 965,148 is: 1,497,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,120 : 965,148 = 965,148 : x
  2. Step 2: Convert to fraction form
    622,120/965,148 = 965,148/x
  3. Step 3: Cross multiply
    622,120x = 965,148 × 965,148
  4. Step 4: Simplify right side
    622,120x = 931,510,661,904
  5. Step 5: Solve for x
    x = 931,510,661,904/622,120
  6. Step 6: Final answer
    x = 1,497,316.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.