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Finding the Third Proportional to 524,950 and 1,084,893

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Solution

The third proportional to 524,950 and 1,084,893 is: 2,242,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,950 : 1,084,893 = 1,084,893 : x
  2. Step 2: Convert to fraction form
    524,950/1,084,893 = 1,084,893/x
  3. Step 3: Cross multiply
    524,950x = 1,084,893 × 1,084,893
  4. Step 4: Simplify right side
    524,950x = 1,176,992,821,449
  5. Step 5: Solve for x
    x = 1,176,992,821,449/524,950
  6. Step 6: Final answer
    x = 2,242,104.62

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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.