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Finding the Third Proportional to 2,129,288.50 and 4,617,944

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Solution

The third proportional to 2,129,288.50 and 4,617,944 is: 10,015,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,288.50 : 4,617,944 = 4,617,944 : x
  2. Step 2: Convert to fraction form
    2,129,288.50/4,617,944 = 4,617,944/x
  3. Step 3: Cross multiply
    2,129,288.50x = 4,617,944 × 4,617,944
  4. Step 4: Simplify right side
    2,129,288.50x = 21,325,406,787,136
  5. Step 5: Solve for x
    x = 21,325,406,787,136/2,129,288.50
  6. Step 6: Final answer
    x = 10,015,273.55

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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.