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Finding the Third Proportional to 738,734 and 1,594,108

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Solution

The third proportional to 738,734 and 1,594,108 is: 3,439,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,734 : 1,594,108 = 1,594,108 : x
  2. Step 2: Convert to fraction form
    738,734/1,594,108 = 1,594,108/x
  3. Step 3: Cross multiply
    738,734x = 1,594,108 × 1,594,108
  4. Step 4: Simplify right side
    738,734x = 2,541,180,315,664
  5. Step 5: Solve for x
    x = 2,541,180,315,664/738,734
  6. Step 6: Final answer
    x = 3,439,912.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.