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Finding the Third Proportional to 567,380 and 1,224,422

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Solution

The third proportional to 567,380 and 1,224,422 is: 2,642,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,380 : 1,224,422 = 1,224,422 : x
  2. Step 2: Convert to fraction form
    567,380/1,224,422 = 1,224,422/x
  3. Step 3: Cross multiply
    567,380x = 1,224,422 × 1,224,422
  4. Step 4: Simplify right side
    567,380x = 1,499,209,234,084
  5. Step 5: Solve for x
    x = 1,499,209,234,084/567,380
  6. Step 6: Final answer
    x = 2,642,337.12

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Why These Related Problems?

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