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Finding the Third Proportional to 2,645,769 and 5,796,003

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Solution

The third proportional to 2,645,769 and 5,796,003 is: 12,697,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,769 : 5,796,003 = 5,796,003 : x
  2. Step 2: Convert to fraction form
    2,645,769/5,796,003 = 5,796,003/x
  3. Step 3: Cross multiply
    2,645,769x = 5,796,003 × 5,796,003
  4. Step 4: Simplify right side
    2,645,769x = 33,593,650,776,009
  5. Step 5: Solve for x
    x = 33,593,650,776,009/2,645,769
  6. Step 6: Final answer
    x = 12,697,121.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.