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Finding the Third Proportional to 1,214,967 and 1,930,960.50

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Solution

The third proportional to 1,214,967 and 1,930,960.50 is: 3,068,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,967 : 1,930,960.50 = 1,930,960.50 : x
  2. Step 2: Convert to fraction form
    1,214,967/1,930,960.50 = 1,930,960.50/x
  3. Step 3: Cross multiply
    1,214,967x = 1,930,960.50 × 1,930,960.50
  4. Step 4: Simplify right side
    1,214,967x = 3,728,608,452,560.25
  5. Step 5: Solve for x
    x = 3,728,608,452,560.25/1,214,967
  6. Step 6: Final answer
    x = 3,068,896.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.