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Finding the Third Proportional to 1,065,741 and 2,230,010

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Solution

The third proportional to 1,065,741 and 2,230,010 is: 4,666,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,741 : 2,230,010 = 2,230,010 : x
  2. Step 2: Convert to fraction form
    1,065,741/2,230,010 = 2,230,010/x
  3. Step 3: Cross multiply
    1,065,741x = 2,230,010 × 2,230,010
  4. Step 4: Simplify right side
    1,065,741x = 4,972,944,600,100
  5. Step 5: Solve for x
    x = 4,972,944,600,100/1,065,741
  6. Step 6: Final answer
    x = 4,666,184.94

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Why These Related Problems?

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