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Finding the Third Proportional to 1,142,048 and 1,606,830

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Solution

The third proportional to 1,142,048 and 1,606,830 is: 2,260,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,048 : 1,606,830 = 1,606,830 : x
  2. Step 2: Convert to fraction form
    1,142,048/1,606,830 = 1,606,830/x
  3. Step 3: Cross multiply
    1,142,048x = 1,606,830 × 1,606,830
  4. Step 4: Simplify right side
    1,142,048x = 2,581,902,648,900
  5. Step 5: Solve for x
    x = 2,581,902,648,900/1,142,048
  6. Step 6: Final answer
    x = 2,260,765.44

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.