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Finding the Third Proportional to 673,815 and 1,474,230

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Solution

The third proportional to 673,815 and 1,474,230 is: 3,225,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,815 : 1,474,230 = 1,474,230 : x
  2. Step 2: Convert to fraction form
    673,815/1,474,230 = 1,474,230/x
  3. Step 3: Cross multiply
    673,815x = 1,474,230 × 1,474,230
  4. Step 4: Simplify right side
    673,815x = 2,173,354,092,900
  5. Step 5: Solve for x
    x = 2,173,354,092,900/673,815
  6. Step 6: Final answer
    x = 3,225,446.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.