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Finding the Third Proportional to 2,021,123 and 3,214,254

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Solution

The third proportional to 2,021,123 and 3,214,254 is: 5,111,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,123 : 3,214,254 = 3,214,254 : x
  2. Step 2: Convert to fraction form
    2,021,123/3,214,254 = 3,214,254/x
  3. Step 3: Cross multiply
    2,021,123x = 3,214,254 × 3,214,254
  4. Step 4: Simplify right side
    2,021,123x = 10,331,428,776,516
  5. Step 5: Solve for x
    x = 10,331,428,776,516/2,021,123
  6. Step 6: Final answer
    x = 5,111,726.88

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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.