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Finding the Third Proportional to 1,781,208 and 3,624,620

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Solution

The third proportional to 1,781,208 and 3,624,620 is: 7,375,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,208 : 3,624,620 = 3,624,620 : x
  2. Step 2: Convert to fraction form
    1,781,208/3,624,620 = 3,624,620/x
  3. Step 3: Cross multiply
    1,781,208x = 3,624,620 × 3,624,620
  4. Step 4: Simplify right side
    1,781,208x = 13,137,870,144,400
  5. Step 5: Solve for x
    x = 13,137,870,144,400/1,781,208
  6. Step 6: Final answer
    x = 7,375,820.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.