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Finding the Third Proportional to 503,106 and 1,084,612

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Solution

The third proportional to 503,106 and 1,084,612 is: 2,338,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,106 : 1,084,612 = 1,084,612 : x
  2. Step 2: Convert to fraction form
    503,106/1,084,612 = 1,084,612/x
  3. Step 3: Cross multiply
    503,106x = 1,084,612 × 1,084,612
  4. Step 4: Simplify right side
    503,106x = 1,176,383,190,544
  5. Step 5: Solve for x
    x = 1,176,383,190,544/503,106
  6. Step 6: Final answer
    x = 2,338,241.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.