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Finding the Third Proportional to 846,714 and 1,297,044

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Solution

The third proportional to 846,714 and 1,297,044 is: 1,986,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,714 : 1,297,044 = 1,297,044 : x
  2. Step 2: Convert to fraction form
    846,714/1,297,044 = 1,297,044/x
  3. Step 3: Cross multiply
    846,714x = 1,297,044 × 1,297,044
  4. Step 4: Simplify right side
    846,714x = 1,682,323,137,936
  5. Step 5: Solve for x
    x = 1,682,323,137,936/846,714
  6. Step 6: Final answer
    x = 1,986,884.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.