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Finding the Third Proportional to 1,028,459.50 and 2,214,970

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Solution

The third proportional to 1,028,459.50 and 2,214,970 is: 4,770,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,459.50 : 2,214,970 = 2,214,970 : x
  2. Step 2: Convert to fraction form
    1,028,459.50/2,214,970 = 2,214,970/x
  3. Step 3: Cross multiply
    1,028,459.50x = 2,214,970 × 2,214,970
  4. Step 4: Simplify right side
    1,028,459.50x = 4,906,092,100,900
  5. Step 5: Solve for x
    x = 4,906,092,100,900/1,028,459.50
  6. Step 6: Final answer
    x = 4,770,330.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.