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Finding the Third Proportional to 2,210,121 and 3,412,813.50

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Solution

The third proportional to 2,210,121 and 3,412,813.50 is: 5,269,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,121 : 3,412,813.50 = 3,412,813.50 : x
  2. Step 2: Convert to fraction form
    2,210,121/3,412,813.50 = 3,412,813.50/x
  3. Step 3: Cross multiply
    2,210,121x = 3,412,813.50 × 3,412,813.50
  4. Step 4: Simplify right side
    2,210,121x = 11,647,295,985,782.25
  5. Step 5: Solve for x
    x = 11,647,295,985,782.25/2,210,121
  6. Step 6: Final answer
    x = 5,269,981.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.