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Finding the Third Proportional to 751,834 and 1,652,524

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Solution

The third proportional to 751,834 and 1,652,524 is: 3,632,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,834 : 1,652,524 = 1,652,524 : x
  2. Step 2: Convert to fraction form
    751,834/1,652,524 = 1,652,524/x
  3. Step 3: Cross multiply
    751,834x = 1,652,524 × 1,652,524
  4. Step 4: Simplify right side
    751,834x = 2,730,835,570,576
  5. Step 5: Solve for x
    x = 2,730,835,570,576/751,834
  6. Step 6: Final answer
    x = 3,632,232.08

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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.