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Finding the Third Proportional to 3,211,501.50 and 4,374,262.50

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Solution

The third proportional to 3,211,501.50 and 4,374,262.50 is: 5,958,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,501.50 : 4,374,262.50 = 4,374,262.50 : x
  2. Step 2: Convert to fraction form
    3,211,501.50/4,374,262.50 = 4,374,262.50/x
  3. Step 3: Cross multiply
    3,211,501.50x = 4,374,262.50 × 4,374,262.50
  4. Step 4: Simplify right side
    3,211,501.50x = 19,134,172,418,906.25
  5. Step 5: Solve for x
    x = 19,134,172,418,906.25/3,211,501.50
  6. Step 6: Final answer
    x = 5,958,014.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.