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Finding the Third Proportional to 493,670.64 and 1,062,072.32

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Solution

The third proportional to 493,670.64 and 1,062,072.32 is: 2,284,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,670.64 : 1,062,072.32 = 1,062,072.32 : x
  2. Step 2: Convert to fraction form
    493,670.64/1,062,072.32 = 1,062,072.32/x
  3. Step 3: Cross multiply
    493,670.64x = 1,062,072.32 × 1,062,072.32
  4. Step 4: Simplify right side
    493,670.64x = 1,127,997,605,276.43
  5. Step 5: Solve for x
    x = 1,127,997,605,276.43/493,670.64
  6. Step 6: Final answer
    x = 2,284,919.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.