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Finding the Third Proportional to 658,886 and 1,438,600

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Solution

The third proportional to 658,886 and 1,438,600 is: 3,141,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,886 : 1,438,600 = 1,438,600 : x
  2. Step 2: Convert to fraction form
    658,886/1,438,600 = 1,438,600/x
  3. Step 3: Cross multiply
    658,886x = 1,438,600 × 1,438,600
  4. Step 4: Simplify right side
    658,886x = 2,069,569,960,000
  5. Step 5: Solve for x
    x = 2,069,569,960,000/658,886
  6. Step 6: Final answer
    x = 3,141,013.71

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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.