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Finding the Third Proportional to 734,914 and 1,135,663

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Solution

The third proportional to 734,914 and 1,135,663 is: 1,754,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,914 : 1,135,663 = 1,135,663 : x
  2. Step 2: Convert to fraction form
    734,914/1,135,663 = 1,135,663/x
  3. Step 3: Cross multiply
    734,914x = 1,135,663 × 1,135,663
  4. Step 4: Simplify right side
    734,914x = 1,289,730,449,569
  5. Step 5: Solve for x
    x = 1,289,730,449,569/734,914
  6. Step 6: Final answer
    x = 1,754,940.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.