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Finding the Third Proportional to 1,287,171 and 2,795,769

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Solution

The third proportional to 1,287,171 and 2,795,769 is: 6,072,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,171 : 2,795,769 = 2,795,769 : x
  2. Step 2: Convert to fraction form
    1,287,171/2,795,769 = 2,795,769/x
  3. Step 3: Cross multiply
    1,287,171x = 2,795,769 × 2,795,769
  4. Step 4: Simplify right side
    1,287,171x = 7,816,324,301,361
  5. Step 5: Solve for x
    x = 7,816,324,301,361/1,287,171
  6. Step 6: Final answer
    x = 6,072,483.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.