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Finding the Third Proportional to 576,489 and 1,227,823

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Solution

The third proportional to 576,489 and 1,227,823 is: 2,615,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,489 : 1,227,823 = 1,227,823 : x
  2. Step 2: Convert to fraction form
    576,489/1,227,823 = 1,227,823/x
  3. Step 3: Cross multiply
    576,489x = 1,227,823 × 1,227,823
  4. Step 4: Simplify right side
    576,489x = 1,507,549,319,329
  5. Step 5: Solve for x
    x = 1,507,549,319,329/576,489
  6. Step 6: Final answer
    x = 2,615,053.05

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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.