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Finding the Third Proportional to 536,578 and 1,137,125

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Solution

The third proportional to 536,578 and 1,137,125 is: 2,409,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,578 : 1,137,125 = 1,137,125 : x
  2. Step 2: Convert to fraction form
    536,578/1,137,125 = 1,137,125/x
  3. Step 3: Cross multiply
    536,578x = 1,137,125 × 1,137,125
  4. Step 4: Simplify right side
    536,578x = 1,293,053,265,625
  5. Step 5: Solve for x
    x = 1,293,053,265,625/536,578
  6. Step 6: Final answer
    x = 2,409,814.17

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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.