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Finding the Third Proportional to 3,849,223.50 and 5,959,489.50

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Solution

The third proportional to 3,849,223.50 and 5,959,489.50 is: 9,226,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,223.50 : 5,959,489.50 = 5,959,489.50 : x
  2. Step 2: Convert to fraction form
    3,849,223.50/5,959,489.50 = 5,959,489.50/x
  3. Step 3: Cross multiply
    3,849,223.50x = 5,959,489.50 × 5,959,489.50
  4. Step 4: Simplify right side
    3,849,223.50x = 35,515,515,100,610.25
  5. Step 5: Solve for x
    x = 35,515,515,100,610.25/3,849,223.50
  6. Step 6: Final answer
    x = 9,226,670.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.