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Finding the Third Proportional to 673,247 and 1,460,939

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Solution

The third proportional to 673,247 and 1,460,939 is: 3,170,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,247 : 1,460,939 = 1,460,939 : x
  2. Step 2: Convert to fraction form
    673,247/1,460,939 = 1,460,939/x
  3. Step 3: Cross multiply
    673,247x = 1,460,939 × 1,460,939
  4. Step 4: Simplify right side
    673,247x = 2,134,342,761,721
  5. Step 5: Solve for x
    x = 2,134,342,761,721/673,247
  6. Step 6: Final answer
    x = 3,170,222.46

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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.