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Finding the Third Proportional to 734,469 and 1,557,150

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Solution

The third proportional to 734,469 and 1,557,150 is: 3,301,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,469 : 1,557,150 = 1,557,150 : x
  2. Step 2: Convert to fraction form
    734,469/1,557,150 = 1,557,150/x
  3. Step 3: Cross multiply
    734,469x = 1,557,150 × 1,557,150
  4. Step 4: Simplify right side
    734,469x = 2,424,716,122,500
  5. Step 5: Solve for x
    x = 2,424,716,122,500/734,469
  6. Step 6: Final answer
    x = 3,301,318.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.