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Finding the Third Proportional to 1,663,383.94 and 3,609,096.75

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Solution

The third proportional to 1,663,383.94 and 3,609,096.75 is: 7,830,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,383.94 : 3,609,096.75 = 3,609,096.75 : x
  2. Step 2: Convert to fraction form
    1,663,383.94/3,609,096.75 = 3,609,096.75/x
  3. Step 3: Cross multiply
    1,663,383.94x = 3,609,096.75 × 3,609,096.75
  4. Step 4: Simplify right side
    1,663,383.94x = 13,025,579,350,860.56
  5. Step 5: Solve for x
    x = 13,025,579,350,860.56/1,663,383.94
  6. Step 6: Final answer
    x = 7,830,771.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.