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Finding the Third Proportional to 582,835.56 and 1,254,244.62

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Solution

The third proportional to 582,835.56 and 1,254,244.62 is: 2,699,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,835.56 : 1,254,244.62 = 1,254,244.62 : x
  2. Step 2: Convert to fraction form
    582,835.56/1,254,244.62 = 1,254,244.62/x
  3. Step 3: Cross multiply
    582,835.56x = 1,254,244.62 × 1,254,244.62
  4. Step 4: Simplify right side
    582,835.56x = 1,573,129,563,418.50
  5. Step 5: Solve for x
    x = 1,573,129,563,418.50/582,835.56
  6. Step 6: Final answer
    x = 2,699,096.75

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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.