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Finding the Third Proportional to 2,129,296.50 and 4,617,963

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Solution

The third proportional to 2,129,296.50 and 4,617,963 is: 10,015,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,296.50 : 4,617,963 = 4,617,963 : x
  2. Step 2: Convert to fraction form
    2,129,296.50/4,617,963 = 4,617,963/x
  3. Step 3: Cross multiply
    2,129,296.50x = 4,617,963 × 4,617,963
  4. Step 4: Simplify right side
    2,129,296.50x = 21,325,582,269,369
  5. Step 5: Solve for x
    x = 21,325,582,269,369/2,129,296.50
  6. Step 6: Final answer
    x = 10,015,318.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.