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Finding the Third Proportional to 854,644 and 1,846,340

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Solution

The third proportional to 854,644 and 1,846,340 is: 3,988,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,644 : 1,846,340 = 1,846,340 : x
  2. Step 2: Convert to fraction form
    854,644/1,846,340 = 1,846,340/x
  3. Step 3: Cross multiply
    854,644x = 1,846,340 × 1,846,340
  4. Step 4: Simplify right side
    854,644x = 3,408,971,395,600
  5. Step 5: Solve for x
    x = 3,408,971,395,600/854,644
  6. Step 6: Final answer
    x = 3,988,761.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.