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Finding the Third Proportional to 854,756 and 1,328,774

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Solution

The third proportional to 854,756 and 1,328,774 is: 2,065,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,756 : 1,328,774 = 1,328,774 : x
  2. Step 2: Convert to fraction form
    854,756/1,328,774 = 1,328,774/x
  3. Step 3: Cross multiply
    854,756x = 1,328,774 × 1,328,774
  4. Step 4: Simplify right side
    854,756x = 1,765,640,343,076
  5. Step 5: Solve for x
    x = 1,765,640,343,076/854,756
  6. Step 6: Final answer
    x = 2,065,665.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.