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Finding the Third Proportional to 854,056 and 1,976,932

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Solution

The third proportional to 854,056 and 1,976,932 is: 4,576,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,056 : 1,976,932 = 1,976,932 : x
  2. Step 2: Convert to fraction form
    854,056/1,976,932 = 1,976,932/x
  3. Step 3: Cross multiply
    854,056x = 1,976,932 × 1,976,932
  4. Step 4: Simplify right side
    854,056x = 3,908,260,132,624
  5. Step 5: Solve for x
    x = 3,908,260,132,624/854,056
  6. Step 6: Final answer
    x = 4,576,116.94

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.