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Finding the Third Proportional to 780,460.31 and 1,582,451.44

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Solution

The third proportional to 780,460.31 and 1,582,451.44 is: 3,208,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,460.31 : 1,582,451.44 = 1,582,451.44 : x
  2. Step 2: Convert to fraction form
    780,460.31/1,582,451.44 = 1,582,451.44/x
  3. Step 3: Cross multiply
    780,460.31x = 1,582,451.44 × 1,582,451.44
  4. Step 4: Simplify right side
    780,460.31x = 2,504,152,552,045.82
  5. Step 5: Solve for x
    x = 2,504,152,552,045.82/780,460.31
  6. Step 6: Final answer
    x = 3,208,558.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.