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Finding the Third Proportional to 3,814,501.50 and 5,721,761.25

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Solution

The third proportional to 3,814,501.50 and 5,721,761.25 is: 8,582,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,501.50 : 5,721,761.25 = 5,721,761.25 : x
  2. Step 2: Convert to fraction form
    3,814,501.50/5,721,761.25 = 5,721,761.25/x
  3. Step 3: Cross multiply
    3,814,501.50x = 5,721,761.25 × 5,721,761.25
  4. Step 4: Simplify right side
    3,814,501.50x = 32,738,551,802,001.56
  5. Step 5: Solve for x
    x = 32,738,551,802,001.56/3,814,501.50
  6. Step 6: Final answer
    x = 8,582,655.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.