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Finding the Third Proportional to 1,289,191 and 2,807,764

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Solution

The third proportional to 1,289,191 and 2,807,764 is: 6,115,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,191 : 2,807,764 = 2,807,764 : x
  2. Step 2: Convert to fraction form
    1,289,191/2,807,764 = 2,807,764/x
  3. Step 3: Cross multiply
    1,289,191x = 2,807,764 × 2,807,764
  4. Step 4: Simplify right side
    1,289,191x = 7,883,538,679,696
  5. Step 5: Solve for x
    x = 7,883,538,679,696/1,289,191
  6. Step 6: Final answer
    x = 6,115,105.27

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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.