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Finding the Third Proportional to 512,504 and 1,103,740

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Solution

The third proportional to 512,504 and 1,103,740 is: 2,377,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,504 : 1,103,740 = 1,103,740 : x
  2. Step 2: Convert to fraction form
    512,504/1,103,740 = 1,103,740/x
  3. Step 3: Cross multiply
    512,504x = 1,103,740 × 1,103,740
  4. Step 4: Simplify right side
    512,504x = 1,218,241,987,600
  5. Step 5: Solve for x
    x = 1,218,241,987,600/512,504
  6. Step 6: Final answer
    x = 2,377,038.98

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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.