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Finding the Third Proportional to 1,803,224 and 3,807,653

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Solution

The third proportional to 1,803,224 and 3,807,653 is: 8,040,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803,224 : 3,807,653 = 3,807,653 : x
  2. Step 2: Convert to fraction form
    1,803,224/3,807,653 = 3,807,653/x
  3. Step 3: Cross multiply
    1,803,224x = 3,807,653 × 3,807,653
  4. Step 4: Simplify right side
    1,803,224x = 14,498,221,368,409
  5. Step 5: Solve for x
    x = 14,498,221,368,409/1,803,224
  6. Step 6: Final answer
    x = 8,040,166.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.