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Finding the Third Proportional to 748,007 and 1,622,830

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Solution

The third proportional to 748,007 and 1,622,830 is: 3,520,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,007 : 1,622,830 = 1,622,830 : x
  2. Step 2: Convert to fraction form
    748,007/1,622,830 = 1,622,830/x
  3. Step 3: Cross multiply
    748,007x = 1,622,830 × 1,622,830
  4. Step 4: Simplify right side
    748,007x = 2,633,577,208,900
  5. Step 5: Solve for x
    x = 2,633,577,208,900/748,007
  6. Step 6: Final answer
    x = 3,520,792.20

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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.