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Finding the Third Proportional to 1,632,576.50 and 3,531,097

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Solution

The third proportional to 1,632,576.50 and 3,531,097 is: 7,637,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,576.50 : 3,531,097 = 3,531,097 : x
  2. Step 2: Convert to fraction form
    1,632,576.50/3,531,097 = 3,531,097/x
  3. Step 3: Cross multiply
    1,632,576.50x = 3,531,097 × 3,531,097
  4. Step 4: Simplify right side
    1,632,576.50x = 12,468,646,023,409
  5. Step 5: Solve for x
    x = 12,468,646,023,409/1,632,576.50
  6. Step 6: Final answer
    x = 7,637,403.84

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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.