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Finding the Third Proportional to 1,247,096.25 and 2,680,664.63

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Solution

The third proportional to 1,247,096.25 and 2,680,664.63 is: 5,762,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,096.25 : 2,680,664.63 = 2,680,664.63 : x
  2. Step 2: Convert to fraction form
    1,247,096.25/2,680,664.63 = 2,680,664.63/x
  3. Step 3: Cross multiply
    1,247,096.25x = 2,680,664.63 × 2,680,664.63
  4. Step 4: Simplify right side
    1,247,096.25x = 7,185,962,831,726.39
  5. Step 5: Solve for x
    x = 7,185,962,831,726.39/1,247,096.25
  6. Step 6: Final answer
    x = 5,762,155.75

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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.