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Finding the Third Proportional to 621,839 and 960,245

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Solution

The third proportional to 621,839 and 960,245 is: 1,482,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,839 : 960,245 = 960,245 : x
  2. Step 2: Convert to fraction form
    621,839/960,245 = 960,245/x
  3. Step 3: Cross multiply
    621,839x = 960,245 × 960,245
  4. Step 4: Simplify right side
    621,839x = 922,070,460,025
  5. Step 5: Solve for x
    x = 922,070,460,025/621,839
  6. Step 6: Final answer
    x = 1,482,812.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.