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Finding the Third Proportional to 1,187,138 and 2,560,900

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Solution

The third proportional to 1,187,138 and 2,560,900 is: 5,524,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,138 : 2,560,900 = 2,560,900 : x
  2. Step 2: Convert to fraction form
    1,187,138/2,560,900 = 2,560,900/x
  3. Step 3: Cross multiply
    1,187,138x = 2,560,900 × 2,560,900
  4. Step 4: Simplify right side
    1,187,138x = 6,558,208,810,000
  5. Step 5: Solve for x
    x = 6,558,208,810,000/1,187,138
  6. Step 6: Final answer
    x = 5,524,386.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.