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Finding the Third Proportional to 409,652.44 and 894,346.31

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Solution

The third proportional to 409,652.44 and 894,346.31 is: 1,952,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,652.44 : 894,346.31 = 894,346.31 : x
  2. Step 2: Convert to fraction form
    409,652.44/894,346.31 = 894,346.31/x
  3. Step 3: Cross multiply
    409,652.44x = 894,346.31 × 894,346.31
  4. Step 4: Simplify right side
    409,652.44x = 799,855,326,682.35
  5. Step 5: Solve for x
    x = 799,855,326,682.35/409,652.44
  6. Step 6: Final answer
    x = 1,952,521.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.