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Finding the Third Proportional to 782,897 and 1,503,586

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Solution

The third proportional to 782,897 and 1,503,586 is: 2,887,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,897 : 1,503,586 = 1,503,586 : x
  2. Step 2: Convert to fraction form
    782,897/1,503,586 = 1,503,586/x
  3. Step 3: Cross multiply
    782,897x = 1,503,586 × 1,503,586
  4. Step 4: Simplify right side
    782,897x = 2,260,770,859,396
  5. Step 5: Solve for x
    x = 2,260,770,859,396/782,897
  6. Step 6: Final answer
    x = 2,887,698.97

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.