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Finding the Third Proportional to 579,942 and 1,259,514

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Solution

The third proportional to 579,942 and 1,259,514 is: 2,735,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,942 : 1,259,514 = 1,259,514 : x
  2. Step 2: Convert to fraction form
    579,942/1,259,514 = 1,259,514/x
  3. Step 3: Cross multiply
    579,942x = 1,259,514 × 1,259,514
  4. Step 4: Simplify right side
    579,942x = 1,586,375,516,196
  5. Step 5: Solve for x
    x = 1,586,375,516,196/579,942
  6. Step 6: Final answer
    x = 2,735,403.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.