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Finding the Third Proportional to 746,871 and 1,147,995

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Solution

The third proportional to 746,871 and 1,147,995 is: 1,764,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,871 : 1,147,995 = 1,147,995 : x
  2. Step 2: Convert to fraction form
    746,871/1,147,995 = 1,147,995/x
  3. Step 3: Cross multiply
    746,871x = 1,147,995 × 1,147,995
  4. Step 4: Simplify right side
    746,871x = 1,317,892,520,025
  5. Step 5: Solve for x
    x = 1,317,892,520,025/746,871
  6. Step 6: Final answer
    x = 1,764,551.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.