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Finding the Third Proportional to 1,297,742 and 1,735,922

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Solution

The third proportional to 1,297,742 and 1,735,922 is: 2,322,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,742 : 1,735,922 = 1,735,922 : x
  2. Step 2: Convert to fraction form
    1,297,742/1,735,922 = 1,735,922/x
  3. Step 3: Cross multiply
    1,297,742x = 1,735,922 × 1,735,922
  4. Step 4: Simplify right side
    1,297,742x = 3,013,425,190,084
  5. Step 5: Solve for x
    x = 3,013,425,190,084/1,297,742
  6. Step 6: Final answer
    x = 2,322,052.60

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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.