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Finding the Third Proportional to 1,919,580 and 4,200,744

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Solution

The third proportional to 1,919,580 and 4,200,744 is: 9,192,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,580 : 4,200,744 = 4,200,744 : x
  2. Step 2: Convert to fraction form
    1,919,580/4,200,744 = 4,200,744/x
  3. Step 3: Cross multiply
    1,919,580x = 4,200,744 × 4,200,744
  4. Step 4: Simplify right side
    1,919,580x = 17,646,250,153,536
  5. Step 5: Solve for x
    x = 17,646,250,153,536/1,919,580
  6. Step 6: Final answer
    x = 9,192,766.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.