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Finding the Third Proportional to 1,171,965 and 2,509,818

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Solution

The third proportional to 1,171,965 and 2,509,818 is: 5,374,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,965 : 2,509,818 = 2,509,818 : x
  2. Step 2: Convert to fraction form
    1,171,965/2,509,818 = 2,509,818/x
  3. Step 3: Cross multiply
    1,171,965x = 2,509,818 × 2,509,818
  4. Step 4: Simplify right side
    1,171,965x = 6,299,186,393,124
  5. Step 5: Solve for x
    x = 6,299,186,393,124/1,171,965
  6. Step 6: Final answer
    x = 5,374,892.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.