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Finding the Third Proportional to 957,714 and 1,428,265

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Solution

The third proportional to 957,714 and 1,428,265 is: 2,130,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,714 : 1,428,265 = 1,428,265 : x
  2. Step 2: Convert to fraction form
    957,714/1,428,265 = 1,428,265/x
  3. Step 3: Cross multiply
    957,714x = 1,428,265 × 1,428,265
  4. Step 4: Simplify right side
    957,714x = 2,039,940,910,225
  5. Step 5: Solve for x
    x = 2,039,940,910,225/957,714
  6. Step 6: Final answer
    x = 2,130,010.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.