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Finding the Third Proportional to 679,222 and 1,476,380

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Solution

The third proportional to 679,222 and 1,476,380 is: 3,209,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,222 : 1,476,380 = 1,476,380 : x
  2. Step 2: Convert to fraction form
    679,222/1,476,380 = 1,476,380/x
  3. Step 3: Cross multiply
    679,222x = 1,476,380 × 1,476,380
  4. Step 4: Simplify right side
    679,222x = 2,179,697,904,400
  5. Step 5: Solve for x
    x = 2,179,697,904,400/679,222
  6. Step 6: Final answer
    x = 3,209,109.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.