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Finding the Third Proportional to 703,268 and 1,089,650

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Solution

The third proportional to 703,268 and 1,089,650 is: 1,688,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,268 : 1,089,650 = 1,089,650 : x
  2. Step 2: Convert to fraction form
    703,268/1,089,650 = 1,089,650/x
  3. Step 3: Cross multiply
    703,268x = 1,089,650 × 1,089,650
  4. Step 4: Simplify right side
    703,268x = 1,187,337,122,500
  5. Step 5: Solve for x
    x = 1,187,337,122,500/703,268
  6. Step 6: Final answer
    x = 1,688,313.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.