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Finding the Third Proportional to 1,186,769 and 1,886,831

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Solution

The third proportional to 1,186,769 and 1,886,831 is: 2,999,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,769 : 1,886,831 = 1,886,831 : x
  2. Step 2: Convert to fraction form
    1,186,769/1,886,831 = 1,886,831/x
  3. Step 3: Cross multiply
    1,186,769x = 1,886,831 × 1,886,831
  4. Step 4: Simplify right side
    1,186,769x = 3,560,131,222,561
  5. Step 5: Solve for x
    x = 3,560,131,222,561/1,186,769
  6. Step 6: Final answer
    x = 2,999,851.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.