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Finding the Third Proportional to 679,236 and 1,476,420

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Solution

The third proportional to 679,236 and 1,476,420 is: 3,209,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,236 : 1,476,420 = 1,476,420 : x
  2. Step 2: Convert to fraction form
    679,236/1,476,420 = 1,476,420/x
  3. Step 3: Cross multiply
    679,236x = 1,476,420 × 1,476,420
  4. Step 4: Simplify right side
    679,236x = 2,179,816,016,400
  5. Step 5: Solve for x
    x = 2,179,816,016,400/679,236
  6. Step 6: Final answer
    x = 3,209,217.44

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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.