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Finding the Third Proportional to 2,202,057 and 3,218,113.50

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Solution

The third proportional to 2,202,057 and 3,218,113.50 is: 4,702,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202,057 : 3,218,113.50 = 3,218,113.50 : x
  2. Step 2: Convert to fraction form
    2,202,057/3,218,113.50 = 3,218,113.50/x
  3. Step 3: Cross multiply
    2,202,057x = 3,218,113.50 × 3,218,113.50
  4. Step 4: Simplify right side
    2,202,057x = 10,356,254,498,882.25
  5. Step 5: Solve for x
    x = 10,356,254,498,882.25/2,202,057
  6. Step 6: Final answer
    x = 4,702,991.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.