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Finding the Third Proportional to 785,740 and 1,696,686

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Solution

The third proportional to 785,740 and 1,696,686 is: 3,663,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,740 : 1,696,686 = 1,696,686 : x
  2. Step 2: Convert to fraction form
    785,740/1,696,686 = 1,696,686/x
  3. Step 3: Cross multiply
    785,740x = 1,696,686 × 1,696,686
  4. Step 4: Simplify right side
    785,740x = 2,878,743,382,596
  5. Step 5: Solve for x
    x = 2,878,743,382,596/785,740
  6. Step 6: Final answer
    x = 3,663,735.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.