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Finding the Third Proportional to 505,359 and 1,105,668

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Solution

The third proportional to 505,359 and 1,105,668 is: 2,419,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,359 : 1,105,668 = 1,105,668 : x
  2. Step 2: Convert to fraction form
    505,359/1,105,668 = 1,105,668/x
  3. Step 3: Cross multiply
    505,359x = 1,105,668 × 1,105,668
  4. Step 4: Simplify right side
    505,359x = 1,222,501,726,224
  5. Step 5: Solve for x
    x = 1,222,501,726,224/505,359
  6. Step 6: Final answer
    x = 2,419,075.80

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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.