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Finding the Third Proportional to 2,129,148 and 4,684,101.75

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Solution

The third proportional to 2,129,148 and 4,684,101.75 is: 10,304,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,148 : 4,684,101.75 = 4,684,101.75 : x
  2. Step 2: Convert to fraction form
    2,129,148/4,684,101.75 = 4,684,101.75/x
  3. Step 3: Cross multiply
    2,129,148x = 4,684,101.75 × 4,684,101.75
  4. Step 4: Simplify right side
    2,129,148x = 21,940,809,204,353.06
  5. Step 5: Solve for x
    x = 21,940,809,204,353.06/2,129,148
  6. Step 6: Final answer
    x = 10,304,971.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.