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Finding the Third Proportional to 965,108 and 1,419,561

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Solution

The third proportional to 965,108 and 1,419,561 is: 2,088,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,108 : 1,419,561 = 1,419,561 : x
  2. Step 2: Convert to fraction form
    965,108/1,419,561 = 1,419,561/x
  3. Step 3: Cross multiply
    965,108x = 1,419,561 × 1,419,561
  4. Step 4: Simplify right side
    965,108x = 2,015,153,432,721
  5. Step 5: Solve for x
    x = 2,015,153,432,721/965,108
  6. Step 6: Final answer
    x = 2,088,008.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.