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Finding the Third Proportional to 652,236 and 1,424,028

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Solution

The third proportional to 652,236 and 1,424,028 is: 3,109,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,236 : 1,424,028 = 1,424,028 : x
  2. Step 2: Convert to fraction form
    652,236/1,424,028 = 1,424,028/x
  3. Step 3: Cross multiply
    652,236x = 1,424,028 × 1,424,028
  4. Step 4: Simplify right side
    652,236x = 2,027,855,744,784
  5. Step 5: Solve for x
    x = 2,027,855,744,784/652,236
  6. Step 6: Final answer
    x = 3,109,082.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.