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Finding the Third Proportional to 469,465 and 978,641

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Solution

The third proportional to 469,465 and 978,641 is: 2,040,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,465 : 978,641 = 978,641 : x
  2. Step 2: Convert to fraction form
    469,465/978,641 = 978,641/x
  3. Step 3: Cross multiply
    469,465x = 978,641 × 978,641
  4. Step 4: Simplify right side
    469,465x = 957,738,206,881
  5. Step 5: Solve for x
    x = 957,738,206,881/469,465
  6. Step 6: Final answer
    x = 2,040,063.07

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.