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Finding the Third Proportional to 1,582,089.75 and 3,451,670.63

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Solution

The third proportional to 1,582,089.75 and 3,451,670.63 is: 7,530,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,089.75 : 3,451,670.63 = 3,451,670.63 : x
  2. Step 2: Convert to fraction form
    1,582,089.75/3,451,670.63 = 3,451,670.63/x
  3. Step 3: Cross multiply
    1,582,089.75x = 3,451,670.63 × 3,451,670.63
  4. Step 4: Simplify right side
    1,582,089.75x = 11,914,030,103,487.89
  5. Step 5: Solve for x
    x = 11,914,030,103,487.89/1,582,089.75
  6. Step 6: Final answer
    x = 7,530,565.26

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Why These Related Problems?

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