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Finding the Third Proportional to 475,263.70 and 989,840.25

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Solution

The third proportional to 475,263.70 and 989,840.25 is: 2,061,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,263.70 : 989,840.25 = 989,840.25 : x
  2. Step 2: Convert to fraction form
    475,263.70/989,840.25 = 989,840.25/x
  3. Step 3: Cross multiply
    475,263.70x = 989,840.25 × 989,840.25
  4. Step 4: Simplify right side
    475,263.70x = 979,783,720,520.06
  5. Step 5: Solve for x
    x = 979,783,720,520.06/475,263.70
  6. Step 6: Final answer
    x = 2,061,558.07

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Why These Related Problems?

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