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Finding the Third Proportional to 703,272 and 1,089,657

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Solution

The third proportional to 703,272 and 1,089,657 is: 1,688,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,272 : 1,089,657 = 1,089,657 : x
  2. Step 2: Convert to fraction form
    703,272/1,089,657 = 1,089,657/x
  3. Step 3: Cross multiply
    703,272x = 1,089,657 × 1,089,657
  4. Step 4: Simplify right side
    703,272x = 1,187,352,377,649
  5. Step 5: Solve for x
    x = 1,187,352,377,649/703,272
  6. Step 6: Final answer
    x = 1,688,325.96

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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.