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Finding the Third Proportional to 853,041 and 1,803,930

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Solution

The third proportional to 853,041 and 1,803,930 is: 3,814,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,041 : 1,803,930 = 1,803,930 : x
  2. Step 2: Convert to fraction form
    853,041/1,803,930 = 1,803,930/x
  3. Step 3: Cross multiply
    853,041x = 1,803,930 × 1,803,930
  4. Step 4: Simplify right side
    853,041x = 3,254,163,444,900
  5. Step 5: Solve for x
    x = 3,254,163,444,900/853,041
  6. Step 6: Final answer
    x = 3,814,779.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.