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Finding the Third Proportional to 561,047 and 1,234,176

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Solution

The third proportional to 561,047 and 1,234,176 is: 2,714,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,047 : 1,234,176 = 1,234,176 : x
  2. Step 2: Convert to fraction form
    561,047/1,234,176 = 1,234,176/x
  3. Step 3: Cross multiply
    561,047x = 1,234,176 × 1,234,176
  4. Step 4: Simplify right side
    561,047x = 1,523,190,398,976
  5. Step 5: Solve for x
    x = 1,523,190,398,976/561,047
  6. Step 6: Final answer
    x = 2,714,906.95

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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.