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Finding the Third Proportional to 731,143.44 and 1,577,890.87

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Solution

The third proportional to 731,143.44 and 1,577,890.87 is: 3,405,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,143.44 : 1,577,890.87 = 1,577,890.87 : x
  2. Step 2: Convert to fraction form
    731,143.44/1,577,890.87 = 1,577,890.87/x
  3. Step 3: Cross multiply
    731,143.44x = 1,577,890.87 × 1,577,890.87
  4. Step 4: Simplify right side
    731,143.44x = 2,489,739,586,827.75
  5. Step 5: Solve for x
    x = 2,489,739,586,827.75/731,143.44
  6. Step 6: Final answer
    x = 3,405,268.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.