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Finding the Third Proportional to 854,676 and 1,868,114

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Solution

The third proportional to 854,676 and 1,868,114 is: 4,083,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,676 : 1,868,114 = 1,868,114 : x
  2. Step 2: Convert to fraction form
    854,676/1,868,114 = 1,868,114/x
  3. Step 3: Cross multiply
    854,676x = 1,868,114 × 1,868,114
  4. Step 4: Simplify right side
    854,676x = 3,489,849,916,996
  5. Step 5: Solve for x
    x = 3,489,849,916,996/854,676
  6. Step 6: Final answer
    x = 4,083,243.14

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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.