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Finding the Third Proportional to 652,890 and 1,438,188

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Solution

The third proportional to 652,890 and 1,438,188 is: 3,168,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,890 : 1,438,188 = 1,438,188 : x
  2. Step 2: Convert to fraction form
    652,890/1,438,188 = 1,438,188/x
  3. Step 3: Cross multiply
    652,890x = 1,438,188 × 1,438,188
  4. Step 4: Simplify right side
    652,890x = 2,068,384,723,344
  5. Step 5: Solve for x
    x = 2,068,384,723,344/652,890
  6. Step 6: Final answer
    x = 3,168,044.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.