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Finding the Third Proportional to 492,466.08 and 1,078,352.37

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Solution

The third proportional to 492,466.08 and 1,078,352.37 is: 2,361,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,466.08 : 1,078,352.37 = 1,078,352.37 : x
  2. Step 2: Convert to fraction form
    492,466.08/1,078,352.37 = 1,078,352.37/x
  3. Step 3: Cross multiply
    492,466.08x = 1,078,352.37 × 1,078,352.37
  4. Step 4: Simplify right side
    492,466.08x = 1,162,843,827,818.88
  5. Step 5: Solve for x
    x = 1,162,843,827,818.88/492,466.08
  6. Step 6: Final answer
    x = 2,361,266.86

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