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Finding the Third Proportional to 2,184,501.75 and 4,644,564.75

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Solution

The third proportional to 2,184,501.75 and 4,644,564.75 is: 9,875,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,501.75 : 4,644,564.75 = 4,644,564.75 : x
  2. Step 2: Convert to fraction form
    2,184,501.75/4,644,564.75 = 4,644,564.75/x
  3. Step 3: Cross multiply
    2,184,501.75x = 4,644,564.75 × 4,644,564.75
  4. Step 4: Simplify right side
    2,184,501.75x = 21,571,981,716,942.56
  5. Step 5: Solve for x
    x = 21,571,981,716,942.56/2,184,501.75
  6. Step 6: Final answer
    x = 9,875,012.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.