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Finding the Third Proportional to 1,297,746 and 1,735,926

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Solution

The third proportional to 1,297,746 and 1,735,926 is: 2,322,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,746 : 1,735,926 = 1,735,926 : x
  2. Step 2: Convert to fraction form
    1,297,746/1,735,926 = 1,735,926/x
  3. Step 3: Cross multiply
    1,297,746x = 1,735,926 × 1,735,926
  4. Step 4: Simplify right side
    1,297,746x = 3,013,439,077,476
  5. Step 5: Solve for x
    x = 3,013,439,077,476/1,297,746
  6. Step 6: Final answer
    x = 2,322,056.15

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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.