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Finding the Third Proportional to 576,413 and 1,259,853

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Solution

The third proportional to 576,413 and 1,259,853 is: 2,753,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,413 : 1,259,853 = 1,259,853 : x
  2. Step 2: Convert to fraction form
    576,413/1,259,853 = 1,259,853/x
  3. Step 3: Cross multiply
    576,413x = 1,259,853 × 1,259,853
  4. Step 4: Simplify right side
    576,413x = 1,587,229,581,609
  5. Step 5: Solve for x
    x = 1,587,229,581,609/576,413
  6. Step 6: Final answer
    x = 2,753,632.52

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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.