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Finding the Third Proportional to 751,830 and 1,652,517

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Solution

The third proportional to 751,830 and 1,652,517 is: 3,632,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,830 : 1,652,517 = 1,652,517 : x
  2. Step 2: Convert to fraction form
    751,830/1,652,517 = 1,652,517/x
  3. Step 3: Cross multiply
    751,830x = 1,652,517 × 1,652,517
  4. Step 4: Simplify right side
    751,830x = 2,730,812,435,289
  5. Step 5: Solve for x
    x = 2,730,812,435,289/751,830
  6. Step 6: Final answer
    x = 3,632,220.63

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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.