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Finding the Third Proportional to 914,463 and 1,424,031

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Solution

The third proportional to 914,463 and 1,424,031 is: 2,217,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,463 : 1,424,031 = 1,424,031 : x
  2. Step 2: Convert to fraction form
    914,463/1,424,031 = 1,424,031/x
  3. Step 3: Cross multiply
    914,463x = 1,424,031 × 1,424,031
  4. Step 4: Simplify right side
    914,463x = 2,027,864,288,961
  5. Step 5: Solve for x
    x = 2,027,864,288,961/914,463
  6. Step 6: Final answer
    x = 2,217,546.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.