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Finding the Third Proportional to 739,832.06 and 1,114,635.94

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Solution

The third proportional to 739,832.06 and 1,114,635.94 is: 1,679,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,832.06 : 1,114,635.94 = 1,114,635.94 : x
  2. Step 2: Convert to fraction form
    739,832.06/1,114,635.94 = 1,114,635.94/x
  3. Step 3: Cross multiply
    739,832.06x = 1,114,635.94 × 1,114,635.94
  4. Step 4: Simplify right side
    739,832.06x = 1,242,413,273,166.50
  5. Step 5: Solve for x
    x = 1,242,413,273,166.50/739,832.06
  6. Step 6: Final answer
    x = 1,679,317.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.