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Finding the Third Proportional to 501,221 and 1,169,557

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Solution

The third proportional to 501,221 and 1,169,557 is: 2,729,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,221 : 1,169,557 = 1,169,557 : x
  2. Step 2: Convert to fraction form
    501,221/1,169,557 = 1,169,557/x
  3. Step 3: Cross multiply
    501,221x = 1,169,557 × 1,169,557
  4. Step 4: Simplify right side
    501,221x = 1,367,863,576,249
  5. Step 5: Solve for x
    x = 1,367,863,576,249/501,221
  6. Step 6: Final answer
    x = 2,729,062.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.