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Finding the Third Proportional to 1,025,924 and 1,760,314

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Solution

The third proportional to 1,025,924 and 1,760,314 is: 3,020,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,924 : 1,760,314 = 1,760,314 : x
  2. Step 2: Convert to fraction form
    1,025,924/1,760,314 = 1,760,314/x
  3. Step 3: Cross multiply
    1,025,924x = 1,760,314 × 1,760,314
  4. Step 4: Simplify right side
    1,025,924x = 3,098,705,378,596
  5. Step 5: Solve for x
    x = 3,098,705,378,596/1,025,924
  6. Step 6: Final answer
    x = 3,020,404.41

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.