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Finding the Third Proportional to 748,002 and 1,622,820

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Solution

The third proportional to 748,002 and 1,622,820 is: 3,520,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,002 : 1,622,820 = 1,622,820 : x
  2. Step 2: Convert to fraction form
    748,002/1,622,820 = 1,622,820/x
  3. Step 3: Cross multiply
    748,002x = 1,622,820 × 1,622,820
  4. Step 4: Simplify right side
    748,002x = 2,633,544,752,400
  5. Step 5: Solve for x
    x = 2,633,544,752,400/748,002
  6. Step 6: Final answer
    x = 3,520,772.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.