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Finding the Third Proportional to 714,912.75 and 1,104,080.63

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Solution

The third proportional to 714,912.75 and 1,104,080.63 is: 1,705,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,912.75 : 1,104,080.63 = 1,104,080.63 : x
  2. Step 2: Convert to fraction form
    714,912.75/1,104,080.63 = 1,104,080.63/x
  3. Step 3: Cross multiply
    714,912.75x = 1,104,080.63 × 1,104,080.63
  4. Step 4: Simplify right side
    714,912.75x = 1,218,994,026,500.39
  5. Step 5: Solve for x
    x = 1,218,994,026,500.39/714,912.75
  6. Step 6: Final answer
    x = 1,705,094.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.