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Finding the Third Proportional to 740,125 and 1,594,448

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Solution

The third proportional to 740,125 and 1,594,448 is: 3,434,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,125 : 1,594,448 = 1,594,448 : x
  2. Step 2: Convert to fraction form
    740,125/1,594,448 = 1,594,448/x
  3. Step 3: Cross multiply
    740,125x = 1,594,448 × 1,594,448
  4. Step 4: Simplify right side
    740,125x = 2,542,264,424,704
  5. Step 5: Solve for x
    x = 2,542,264,424,704/740,125
  6. Step 6: Final answer
    x = 3,434,912.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.