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Finding the Third Proportional to 1,214,969 and 1,930,964

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Solution

The third proportional to 1,214,969 and 1,930,964 is: 3,068,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,969 : 1,930,964 = 1,930,964 : x
  2. Step 2: Convert to fraction form
    1,214,969/1,930,964 = 1,930,964/x
  3. Step 3: Cross multiply
    1,214,969x = 1,930,964 × 1,930,964
  4. Step 4: Simplify right side
    1,214,969x = 3,728,621,969,296
  5. Step 5: Solve for x
    x = 3,728,621,969,296/1,214,969
  6. Step 6: Final answer
    x = 3,068,902.97

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