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Finding the Third Proportional to 757,981 and 1,642,103

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Solution

The third proportional to 757,981 and 1,642,103 is: 3,557,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,981 : 1,642,103 = 1,642,103 : x
  2. Step 2: Convert to fraction form
    757,981/1,642,103 = 1,642,103/x
  3. Step 3: Cross multiply
    757,981x = 1,642,103 × 1,642,103
  4. Step 4: Simplify right side
    757,981x = 2,696,502,262,609
  5. Step 5: Solve for x
    x = 2,696,502,262,609/757,981
  6. Step 6: Final answer
    x = 3,557,480.02

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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.