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Finding the Third Proportional to 1,214,930 and 1,930,899

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Solution

The third proportional to 1,214,930 and 1,930,899 is: 3,068,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,930 : 1,930,899 = 1,930,899 : x
  2. Step 2: Convert to fraction form
    1,214,930/1,930,899 = 1,930,899/x
  3. Step 3: Cross multiply
    1,214,930x = 1,930,899 × 1,930,899
  4. Step 4: Simplify right side
    1,214,930x = 3,728,370,948,201
  5. Step 5: Solve for x
    x = 3,728,370,948,201/1,214,930
  6. Step 6: Final answer
    x = 3,068,794.87

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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.