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Finding the Third Proportional to 957,734 and 1,428,296

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Solution

The third proportional to 957,734 and 1,428,296 is: 2,130,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,734 : 1,428,296 = 1,428,296 : x
  2. Step 2: Convert to fraction form
    957,734/1,428,296 = 1,428,296/x
  3. Step 3: Cross multiply
    957,734x = 1,428,296 × 1,428,296
  4. Step 4: Simplify right side
    957,734x = 2,040,029,463,616
  5. Step 5: Solve for x
    x = 2,040,029,463,616/957,734
  6. Step 6: Final answer
    x = 2,130,058.52

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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.