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Finding the Third Proportional to 1,600,627.50 and 2,441,592

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Solution

The third proportional to 1,600,627.50 and 2,441,592 is: 3,724,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,627.50 : 2,441,592 = 2,441,592 : x
  2. Step 2: Convert to fraction form
    1,600,627.50/2,441,592 = 2,441,592/x
  3. Step 3: Cross multiply
    1,600,627.50x = 2,441,592 × 2,441,592
  4. Step 4: Simplify right side
    1,600,627.50x = 5,961,371,494,464
  5. Step 5: Solve for x
    x = 5,961,371,494,464/1,600,627.50
  6. Step 6: Final answer
    x = 3,724,396.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.