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Finding the Third Proportional to 614,906 and 1,350,874

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Solution

The third proportional to 614,906 and 1,350,874 is: 2,967,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,906 : 1,350,874 = 1,350,874 : x
  2. Step 2: Convert to fraction form
    614,906/1,350,874 = 1,350,874/x
  3. Step 3: Cross multiply
    614,906x = 1,350,874 × 1,350,874
  4. Step 4: Simplify right side
    614,906x = 1,824,860,563,876
  5. Step 5: Solve for x
    x = 1,824,860,563,876/614,906
  6. Step 6: Final answer
    x = 2,967,706.55

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Why These Related Problems?

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