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Finding the Third Proportional to 622,674 and 1,369,764

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Solution

The third proportional to 622,674 and 1,369,764 is: 3,013,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,674 : 1,369,764 = 1,369,764 : x
  2. Step 2: Convert to fraction form
    622,674/1,369,764 = 1,369,764/x
  3. Step 3: Cross multiply
    622,674x = 1,369,764 × 1,369,764
  4. Step 4: Simplify right side
    622,674x = 1,876,253,415,696
  5. Step 5: Solve for x
    x = 1,876,253,415,696/622,674
  6. Step 6: Final answer
    x = 3,013,219.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.