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Finding the Third Proportional to 854,858.81 and 1,353,644.16

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Solution

The third proportional to 854,858.81 and 1,353,644.16 is: 2,143,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,858.81 : 1,353,644.16 = 1,353,644.16 : x
  2. Step 2: Convert to fraction form
    854,858.81/1,353,644.16 = 1,353,644.16/x
  3. Step 3: Cross multiply
    854,858.81x = 1,353,644.16 × 1,353,644.16
  4. Step 4: Simplify right side
    854,858.81x = 1,832,352,501,749.77
  5. Step 5: Solve for x
    x = 1,832,352,501,749.77/854,858.81
  6. Step 6: Final answer
    x = 2,143,456.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.