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Finding the Third Proportional to 854,391.80 and 1,868,381.44

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Solution

The third proportional to 854,391.80 and 1,868,381.44 is: 4,085,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,391.80 : 1,868,381.44 = 1,868,381.44 : x
  2. Step 2: Convert to fraction form
    854,391.80/1,868,381.44 = 1,868,381.44/x
  3. Step 3: Cross multiply
    854,391.80x = 1,868,381.44 × 1,868,381.44
  4. Step 4: Simplify right side
    854,391.80x = 3,490,849,195,994.57
  5. Step 5: Solve for x
    x = 3,490,849,195,994.57/854,391.80
  6. Step 6: Final answer
    x = 4,085,770.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.