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Finding the Third Proportional to 785,870 and 1,718,856

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Solution

The third proportional to 785,870 and 1,718,856 is: 3,759,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,870 : 1,718,856 = 1,718,856 : x
  2. Step 2: Convert to fraction form
    785,870/1,718,856 = 1,718,856/x
  3. Step 3: Cross multiply
    785,870x = 1,718,856 × 1,718,856
  4. Step 4: Simplify right side
    785,870x = 2,954,465,948,736
  5. Step 5: Solve for x
    x = 2,954,465,948,736/785,870
  6. Step 6: Final answer
    x = 3,759,484.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.