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Finding the Third Proportional to 1,214,970 and 1,930,965

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Solution

The third proportional to 1,214,970 and 1,930,965 is: 3,068,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,970 : 1,930,965 = 1,930,965 : x
  2. Step 2: Convert to fraction form
    1,214,970/1,930,965 = 1,930,965/x
  3. Step 3: Cross multiply
    1,214,970x = 1,930,965 × 1,930,965
  4. Step 4: Simplify right side
    1,214,970x = 3,728,625,831,225
  5. Step 5: Solve for x
    x = 3,728,625,831,225/1,214,970
  6. Step 6: Final answer
    x = 3,068,903.62

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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.