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Finding the Third Proportional to 584,471 and 1,259,230

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Solution

The third proportional to 584,471 and 1,259,230 is: 2,712,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,471 : 1,259,230 = 1,259,230 : x
  2. Step 2: Convert to fraction form
    584,471/1,259,230 = 1,259,230/x
  3. Step 3: Cross multiply
    584,471x = 1,259,230 × 1,259,230
  4. Step 4: Simplify right side
    584,471x = 1,585,660,192,900
  5. Step 5: Solve for x
    x = 1,585,660,192,900/584,471
  6. Step 6: Final answer
    x = 2,712,983.52

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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.