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Finding the Third Proportional to 576,606 and 1,238,463

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Solution

The third proportional to 576,606 and 1,238,463 is: 2,660,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,606 : 1,238,463 = 1,238,463 : x
  2. Step 2: Convert to fraction form
    576,606/1,238,463 = 1,238,463/x
  3. Step 3: Cross multiply
    576,606x = 1,238,463 × 1,238,463
  4. Step 4: Simplify right side
    576,606x = 1,533,790,602,369
  5. Step 5: Solve for x
    x = 1,533,790,602,369/576,606
  6. Step 6: Final answer
    x = 2,660,032.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.