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Finding the Third Proportional to 1,186,576 and 2,588,770

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Solution

The third proportional to 1,186,576 and 2,588,770 is: 5,647,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,576 : 2,588,770 = 2,588,770 : x
  2. Step 2: Convert to fraction form
    1,186,576/2,588,770 = 2,588,770/x
  3. Step 3: Cross multiply
    1,186,576x = 2,588,770 × 2,588,770
  4. Step 4: Simplify right side
    1,186,576x = 6,701,730,112,900
  5. Step 5: Solve for x
    x = 6,701,730,112,900/1,186,576
  6. Step 6: Final answer
    x = 5,647,956.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.