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Finding the Third Proportional to 2,030,709 and 4,459,947

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Solution

The third proportional to 2,030,709 and 4,459,947 is: 9,795,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,709 : 4,459,947 = 4,459,947 : x
  2. Step 2: Convert to fraction form
    2,030,709/4,459,947 = 4,459,947/x
  3. Step 3: Cross multiply
    2,030,709x = 4,459,947 × 4,459,947
  4. Step 4: Simplify right side
    2,030,709x = 19,891,127,242,809
  5. Step 5: Solve for x
    x = 19,891,127,242,809/2,030,709
  6. Step 6: Final answer
    x = 9,795,163.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.