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Finding the Third Proportional to 782,524 and 1,626,272

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Solution

The third proportional to 782,524 and 1,626,272 is: 3,379,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,524 : 1,626,272 = 1,626,272 : x
  2. Step 2: Convert to fraction form
    782,524/1,626,272 = 1,626,272/x
  3. Step 3: Cross multiply
    782,524x = 1,626,272 × 1,626,272
  4. Step 4: Simplify right side
    782,524x = 2,644,760,617,984
  5. Step 5: Solve for x
    x = 2,644,760,617,984/782,524
  6. Step 6: Final answer
    x = 3,379,782.11

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.