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Finding the Third Proportional to 754,611 and 1,141,638

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Solution

The third proportional to 754,611 and 1,141,638 is: 1,727,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,611 : 1,141,638 = 1,141,638 : x
  2. Step 2: Convert to fraction form
    754,611/1,141,638 = 1,141,638/x
  3. Step 3: Cross multiply
    754,611x = 1,141,638 × 1,141,638
  4. Step 4: Simplify right side
    754,611x = 1,303,337,323,044
  5. Step 5: Solve for x
    x = 1,303,337,323,044/754,611
  6. Step 6: Final answer
    x = 1,727,164.49

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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.