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Finding the Third Proportional to 673,252 and 1,460,950

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Solution

The third proportional to 673,252 and 1,460,950 is: 3,170,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,252 : 1,460,950 = 1,460,950 : x
  2. Step 2: Convert to fraction form
    673,252/1,460,950 = 1,460,950/x
  3. Step 3: Cross multiply
    673,252x = 1,460,950 × 1,460,950
  4. Step 4: Simplify right side
    673,252x = 2,134,374,902,500
  5. Step 5: Solve for x
    x = 2,134,374,902,500/673,252
  6. Step 6: Final answer
    x = 3,170,246.66

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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.