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Finding the Third Proportional to 703,505 and 1,431,851.50

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Solution

The third proportional to 703,505 and 1,431,851.50 is: 2,914,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,505 : 1,431,851.50 = 1,431,851.50 : x
  2. Step 2: Convert to fraction form
    703,505/1,431,851.50 = 1,431,851.50/x
  3. Step 3: Cross multiply
    703,505x = 1,431,851.50 × 1,431,851.50
  4. Step 4: Simplify right side
    703,505x = 2,050,198,718,052.25
  5. Step 5: Solve for x
    x = 2,050,198,718,052.25/703,505
  6. Step 6: Final answer
    x = 2,914,263.18

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.