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Finding the Third Proportional to 679,826 and 1,493,464

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Solution

The third proportional to 679,826 and 1,493,464 is: 3,280,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,826 : 1,493,464 = 1,493,464 : x
  2. Step 2: Convert to fraction form
    679,826/1,493,464 = 1,493,464/x
  3. Step 3: Cross multiply
    679,826x = 1,493,464 × 1,493,464
  4. Step 4: Simplify right side
    679,826x = 2,230,434,719,296
  5. Step 5: Solve for x
    x = 2,230,434,719,296/679,826
  6. Step 6: Final answer
    x = 3,280,890.58

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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.