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Finding the Third Proportional to 734,025 and 1,122,975

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Solution

The third proportional to 734,025 and 1,122,975 is: 1,718,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,025 : 1,122,975 = 1,122,975 : x
  2. Step 2: Convert to fraction form
    734,025/1,122,975 = 1,122,975/x
  3. Step 3: Cross multiply
    734,025x = 1,122,975 × 1,122,975
  4. Step 4: Simplify right side
    734,025x = 1,261,072,850,625
  5. Step 5: Solve for x
    x = 1,261,072,850,625/734,025
  6. Step 6: Final answer
    x = 1,718,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.