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Finding the Third Proportional to 786,970 and 1,694,341

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Solution

The third proportional to 786,970 and 1,694,341 is: 3,647,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,970 : 1,694,341 = 1,694,341 : x
  2. Step 2: Convert to fraction form
    786,970/1,694,341 = 1,694,341/x
  3. Step 3: Cross multiply
    786,970x = 1,694,341 × 1,694,341
  4. Step 4: Simplify right side
    786,970x = 2,870,791,424,281
  5. Step 5: Solve for x
    x = 2,870,791,424,281/786,970
  6. Step 6: Final answer
    x = 3,647,904.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.