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Finding the Third Proportional to 475,185.63 and 984,054.06

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Solution

The third proportional to 475,185.63 and 984,054.06 is: 2,037,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,185.63 : 984,054.06 = 984,054.06 : x
  2. Step 2: Convert to fraction form
    475,185.63/984,054.06 = 984,054.06/x
  3. Step 3: Cross multiply
    475,185.63x = 984,054.06 × 984,054.06
  4. Step 4: Simplify right side
    475,185.63x = 968,362,397,922.75
  5. Step 5: Solve for x
    x = 968,362,397,922.75/475,185.63
  6. Step 6: Final answer
    x = 2,037,861.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.