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Finding the Third Proportional to 740,544 and 1,533,600

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Solution

The third proportional to 740,544 and 1,533,600 is: 3,175,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,544 : 1,533,600 = 1,533,600 : x
  2. Step 2: Convert to fraction form
    740,544/1,533,600 = 1,533,600/x
  3. Step 3: Cross multiply
    740,544x = 1,533,600 × 1,533,600
  4. Step 4: Simplify right side
    740,544x = 2,351,928,960,000
  5. Step 5: Solve for x
    x = 2,351,928,960,000/740,544
  6. Step 6: Final answer
    x = 3,175,947.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.