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Finding the Third Proportional to 1,297,732 and 1,735,908

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Solution

The third proportional to 1,297,732 and 1,735,908 is: 2,322,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,732 : 1,735,908 = 1,735,908 : x
  2. Step 2: Convert to fraction form
    1,297,732/1,735,908 = 1,735,908/x
  3. Step 3: Cross multiply
    1,297,732x = 1,735,908 × 1,735,908
  4. Step 4: Simplify right side
    1,297,732x = 3,013,376,584,464
  5. Step 5: Solve for x
    x = 3,013,376,584,464/1,297,732
  6. Step 6: Final answer
    x = 2,322,033.04

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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.