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Finding the Third Proportional to 622,142 and 1,285,756

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Solution

The third proportional to 622,142 and 1,285,756 is: 2,657,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,142 : 1,285,756 = 1,285,756 : x
  2. Step 2: Convert to fraction form
    622,142/1,285,756 = 1,285,756/x
  3. Step 3: Cross multiply
    622,142x = 1,285,756 × 1,285,756
  4. Step 4: Simplify right side
    622,142x = 1,653,168,491,536
  5. Step 5: Solve for x
    x = 1,653,168,491,536/622,142
  6. Step 6: Final answer
    x = 2,657,220.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.