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Finding the Third Proportional to 504,957 and 1,106,493

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Solution

The third proportional to 504,957 and 1,106,493 is: 2,424,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,957 : 1,106,493 = 1,106,493 : x
  2. Step 2: Convert to fraction form
    504,957/1,106,493 = 1,106,493/x
  3. Step 3: Cross multiply
    504,957x = 1,106,493 × 1,106,493
  4. Step 4: Simplify right side
    504,957x = 1,224,326,759,049
  5. Step 5: Solve for x
    x = 1,224,326,759,049/504,957
  6. Step 6: Final answer
    x = 2,424,615.88

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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.