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Finding the Third Proportional to 1,065,742 and 2,230,012

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Solution

The third proportional to 1,065,742 and 2,230,012 is: 4,666,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,742 : 2,230,012 = 2,230,012 : x
  2. Step 2: Convert to fraction form
    1,065,742/2,230,012 = 2,230,012/x
  3. Step 3: Cross multiply
    1,065,742x = 2,230,012 × 2,230,012
  4. Step 4: Simplify right side
    1,065,742x = 4,972,953,520,144
  5. Step 5: Solve for x
    x = 4,972,953,520,144/1,065,742
  6. Step 6: Final answer
    x = 4,666,188.93

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.