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Finding the Third Proportional to 535,493 and 1,174,504

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Solution

The third proportional to 535,493 and 1,174,504 is: 2,576,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,493 : 1,174,504 = 1,174,504 : x
  2. Step 2: Convert to fraction form
    535,493/1,174,504 = 1,174,504/x
  3. Step 3: Cross multiply
    535,493x = 1,174,504 × 1,174,504
  4. Step 4: Simplify right side
    535,493x = 1,379,459,646,016
  5. Step 5: Solve for x
    x = 1,379,459,646,016/535,493
  6. Step 6: Final answer
    x = 2,576,055.42

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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.