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Finding the Third Proportional to 785,999.25 and 1,684,046.25

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Solution

The third proportional to 785,999.25 and 1,684,046.25 is: 3,608,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,999.25 : 1,684,046.25 = 1,684,046.25 : x
  2. Step 2: Convert to fraction form
    785,999.25/1,684,046.25 = 1,684,046.25/x
  3. Step 3: Cross multiply
    785,999.25x = 1,684,046.25 × 1,684,046.25
  4. Step 4: Simplify right side
    785,999.25x = 2,836,011,772,139.06
  5. Step 5: Solve for x
    x = 2,836,011,772,139.06/785,999.25
  6. Step 6: Final answer
    x = 3,608,160.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.