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Finding the Third Proportional to 1,185,202 and 2,796,682

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Solution

The third proportional to 1,185,202 and 2,796,682 is: 6,599,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,202 : 2,796,682 = 2,796,682 : x
  2. Step 2: Convert to fraction form
    1,185,202/2,796,682 = 2,796,682/x
  3. Step 3: Cross multiply
    1,185,202x = 2,796,682 × 2,796,682
  4. Step 4: Simplify right side
    1,185,202x = 7,821,430,209,124
  5. Step 5: Solve for x
    x = 7,821,430,209,124/1,185,202
  6. Step 6: Final answer
    x = 6,599,238.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.