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Finding the Third Proportional to 751,833 and 1,652,523

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Solution

The third proportional to 751,833 and 1,652,523 is: 3,632,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,833 : 1,652,523 = 1,652,523 : x
  2. Step 2: Convert to fraction form
    751,833/1,652,523 = 1,652,523/x
  3. Step 3: Cross multiply
    751,833x = 1,652,523 × 1,652,523
  4. Step 4: Simplify right side
    751,833x = 2,730,832,265,529
  5. Step 5: Solve for x
    x = 2,730,832,265,529/751,833
  6. Step 6: Final answer
    x = 3,632,232.51

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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.