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Finding the Third Proportional to 1,632,556.50 and 3,812,289.75

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Solution

The third proportional to 1,632,556.50 and 3,812,289.75 is: 8,902,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,556.50 : 3,812,289.75 = 3,812,289.75 : x
  2. Step 2: Convert to fraction form
    1,632,556.50/3,812,289.75 = 3,812,289.75/x
  3. Step 3: Cross multiply
    1,632,556.50x = 3,812,289.75 × 3,812,289.75
  4. Step 4: Simplify right side
    1,632,556.50x = 14,533,553,137,955.06
  5. Step 5: Solve for x
    x = 14,533,553,137,955.06/1,632,556.50
  6. Step 6: Final answer
    x = 8,902,327.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.