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Finding the Third Proportional to 1,970,214 and 4,254,780

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Solution

The third proportional to 1,970,214 and 4,254,780 is: 9,188,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,214 : 4,254,780 = 4,254,780 : x
  2. Step 2: Convert to fraction form
    1,970,214/4,254,780 = 4,254,780/x
  3. Step 3: Cross multiply
    1,970,214x = 4,254,780 × 4,254,780
  4. Step 4: Simplify right side
    1,970,214x = 18,103,152,848,400
  5. Step 5: Solve for x
    x = 18,103,152,848,400/1,970,214
  6. Step 6: Final answer
    x = 9,188,419.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.