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Finding the Third Proportional to 703,728 and 1,507,096

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Solution

The third proportional to 703,728 and 1,507,096 is: 3,227,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,728 : 1,507,096 = 1,507,096 : x
  2. Step 2: Convert to fraction form
    703,728/1,507,096 = 1,507,096/x
  3. Step 3: Cross multiply
    703,728x = 1,507,096 × 1,507,096
  4. Step 4: Simplify right side
    703,728x = 2,271,338,353,216
  5. Step 5: Solve for x
    x = 2,271,338,353,216/703,728
  6. Step 6: Final answer
    x = 3,227,579.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.