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Finding the Third Proportional to 802,689.75 and 1,100,696.63

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Solution

The third proportional to 802,689.75 and 1,100,696.63 is: 1,509,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,689.75 : 1,100,696.63 = 1,100,696.63 : x
  2. Step 2: Convert to fraction form
    802,689.75/1,100,696.63 = 1,100,696.63/x
  3. Step 3: Cross multiply
    802,689.75x = 1,100,696.63 × 1,100,696.63
  4. Step 4: Simplify right side
    802,689.75x = 1,211,533,060,286.39
  5. Step 5: Solve for x
    x = 1,211,533,060,286.39/802,689.75
  6. Step 6: Final answer
    x = 1,509,341.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.