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Finding the Third Proportional to 953,619 and 1,440,147

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Solution

The third proportional to 953,619 and 1,440,147 is: 2,174,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,619 : 1,440,147 = 1,440,147 : x
  2. Step 2: Convert to fraction form
    953,619/1,440,147 = 1,440,147/x
  3. Step 3: Cross multiply
    953,619x = 1,440,147 × 1,440,147
  4. Step 4: Simplify right side
    953,619x = 2,074,023,381,609
  5. Step 5: Solve for x
    x = 2,074,023,381,609/953,619
  6. Step 6: Final answer
    x = 2,174,897.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.