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Finding the Third Proportional to 561,781 and 1,213,345

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Solution

The third proportional to 561,781 and 1,213,345 is: 2,620,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,781 : 1,213,345 = 1,213,345 : x
  2. Step 2: Convert to fraction form
    561,781/1,213,345 = 1,213,345/x
  3. Step 3: Cross multiply
    561,781x = 1,213,345 × 1,213,345
  4. Step 4: Simplify right side
    561,781x = 1,472,206,089,025
  5. Step 5: Solve for x
    x = 1,472,206,089,025/561,781
  6. Step 6: Final answer
    x = 2,620,604.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.