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Finding the Third Proportional to 486,653.75 and 1,048,185.75

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Solution

The third proportional to 486,653.75 and 1,048,185.75 is: 2,257,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,653.75 : 1,048,185.75 = 1,048,185.75 : x
  2. Step 2: Convert to fraction form
    486,653.75/1,048,185.75 = 1,048,185.75/x
  3. Step 3: Cross multiply
    486,653.75x = 1,048,185.75 × 1,048,185.75
  4. Step 4: Simplify right side
    486,653.75x = 1,098,693,366,503.06
  5. Step 5: Solve for x
    x = 1,098,693,366,503.06/486,653.75
  6. Step 6: Final answer
    x = 2,257,649.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.