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Finding the Third Proportional to 504,180 and 1,102,761

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Solution

The third proportional to 504,180 and 1,102,761 is: 2,411,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,180 : 1,102,761 = 1,102,761 : x
  2. Step 2: Convert to fraction form
    504,180/1,102,761 = 1,102,761/x
  3. Step 3: Cross multiply
    504,180x = 1,102,761 × 1,102,761
  4. Step 4: Simplify right side
    504,180x = 1,216,081,823,121
  5. Step 5: Solve for x
    x = 1,216,081,823,121/504,180
  6. Step 6: Final answer
    x = 2,411,999.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.