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Finding the Third Proportional to 623,967 and 1,277,505

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Solution

The third proportional to 623,967 and 1,277,505 is: 2,615,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,967 : 1,277,505 = 1,277,505 : x
  2. Step 2: Convert to fraction form
    623,967/1,277,505 = 1,277,505/x
  3. Step 3: Cross multiply
    623,967x = 1,277,505 × 1,277,505
  4. Step 4: Simplify right side
    623,967x = 1,632,019,025,025
  5. Step 5: Solve for x
    x = 1,632,019,025,025/623,967
  6. Step 6: Final answer
    x = 2,615,553.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.