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Finding the Third Proportional to 522,627 and 1,144,902

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Solution

The third proportional to 522,627 and 1,144,902 is: 2,508,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,627 : 1,144,902 = 1,144,902 : x
  2. Step 2: Convert to fraction form
    522,627/1,144,902 = 1,144,902/x
  3. Step 3: Cross multiply
    522,627x = 1,144,902 × 1,144,902
  4. Step 4: Simplify right side
    522,627x = 1,310,800,589,604
  5. Step 5: Solve for x
    x = 1,310,800,589,604/522,627
  6. Step 6: Final answer
    x = 2,508,099.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.