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Finding the Third Proportional to 961,650.75 and 1,522,750.50

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Solution

The third proportional to 961,650.75 and 1,522,750.50 is: 2,411,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,650.75 : 1,522,750.50 = 1,522,750.50 : x
  2. Step 2: Convert to fraction form
    961,650.75/1,522,750.50 = 1,522,750.50/x
  3. Step 3: Cross multiply
    961,650.75x = 1,522,750.50 × 1,522,750.50
  4. Step 4: Simplify right side
    961,650.75x = 2,318,769,085,250.25
  5. Step 5: Solve for x
    x = 2,318,769,085,250.25/961,650.75
  6. Step 6: Final answer
    x = 2,411,238.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.