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Finding the Third Proportional to 2,113,803 and 4,631,589

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Solution

The third proportional to 2,113,803 and 4,631,589 is: 10,148,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,803 : 4,631,589 = 4,631,589 : x
  2. Step 2: Convert to fraction form
    2,113,803/4,631,589 = 4,631,589/x
  3. Step 3: Cross multiply
    2,113,803x = 4,631,589 × 4,631,589
  4. Step 4: Simplify right side
    2,113,803x = 21,451,616,664,921
  5. Step 5: Solve for x
    x = 21,451,616,664,921/2,113,803
  6. Step 6: Final answer
    x = 10,148,351.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.