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Finding the Third Proportional to 458,181.56 and 1,006,693.31

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Solution

The third proportional to 458,181.56 and 1,006,693.31 is: 2,211,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,181.56 : 1,006,693.31 = 1,006,693.31 : x
  2. Step 2: Convert to fraction form
    458,181.56/1,006,693.31 = 1,006,693.31/x
  3. Step 3: Cross multiply
    458,181.56x = 1,006,693.31 × 1,006,693.31
  4. Step 4: Simplify right side
    458,181.56x = 1,013,431,425,432.22
  5. Step 5: Solve for x
    x = 1,013,431,425,432.22/458,181.56
  6. Step 6: Final answer
    x = 2,211,855.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.