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Finding the Third Proportional to 1,644,875.50 and 3,667,964

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Solution

The third proportional to 1,644,875.50 and 3,667,964 is: 8,179,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,875.50 : 3,667,964 = 3,667,964 : x
  2. Step 2: Convert to fraction form
    1,644,875.50/3,667,964 = 3,667,964/x
  3. Step 3: Cross multiply
    1,644,875.50x = 3,667,964 × 3,667,964
  4. Step 4: Simplify right side
    1,644,875.50x = 13,453,959,905,296
  5. Step 5: Solve for x
    x = 13,453,959,905,296/1,644,875.50
  6. Step 6: Final answer
    x = 8,179,318.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.