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Finding the Third Proportional to 606,072 and 897,390

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Solution

The third proportional to 606,072 and 897,390 is: 1,328,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,072 : 897,390 = 897,390 : x
  2. Step 2: Convert to fraction form
    606,072/897,390 = 897,390/x
  3. Step 3: Cross multiply
    606,072x = 897,390 × 897,390
  4. Step 4: Simplify right side
    606,072x = 805,308,812,100
  5. Step 5: Solve for x
    x = 805,308,812,100/606,072
  6. Step 6: Final answer
    x = 1,328,734.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.