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Finding the Third Proportional to 576,549 and 1,227,933

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Solution

The third proportional to 576,549 and 1,227,933 is: 2,615,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,549 : 1,227,933 = 1,227,933 : x
  2. Step 2: Convert to fraction form
    576,549/1,227,933 = 1,227,933/x
  3. Step 3: Cross multiply
    576,549x = 1,227,933 × 1,227,933
  4. Step 4: Simplify right side
    576,549x = 1,507,819,452,489
  5. Step 5: Solve for x
    x = 1,507,819,452,489/576,549
  6. Step 6: Final answer
    x = 2,615,249.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.