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Finding the Third Proportional to 1,297,728 and 1,735,902

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Solution

The third proportional to 1,297,728 and 1,735,902 is: 2,322,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,728 : 1,735,902 = 1,735,902 : x
  2. Step 2: Convert to fraction form
    1,297,728/1,735,902 = 1,735,902/x
  3. Step 3: Cross multiply
    1,297,728x = 1,735,902 × 1,735,902
  4. Step 4: Simplify right side
    1,297,728x = 3,013,355,753,604
  5. Step 5: Solve for x
    x = 3,013,355,753,604/1,297,728
  6. Step 6: Final answer
    x = 2,322,024.15

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.