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Finding the Third Proportional to 679,824 and 1,493,460

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Solution

The third proportional to 679,824 and 1,493,460 is: 3,280,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,824 : 1,493,460 = 1,493,460 : x
  2. Step 2: Convert to fraction form
    679,824/1,493,460 = 1,493,460/x
  3. Step 3: Cross multiply
    679,824x = 1,493,460 × 1,493,460
  4. Step 4: Simplify right side
    679,824x = 2,230,422,771,600
  5. Step 5: Solve for x
    x = 2,230,422,771,600/679,824
  6. Step 6: Final answer
    x = 3,280,882.66

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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.