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Finding the Third Proportional to 475,094 and 989,500

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Solution

The third proportional to 475,094 and 989,500 is: 2,060,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,094 : 989,500 = 989,500 : x
  2. Step 2: Convert to fraction form
    475,094/989,500 = 989,500/x
  3. Step 3: Cross multiply
    475,094x = 989,500 × 989,500
  4. Step 4: Simplify right side
    475,094x = 979,110,250,000
  5. Step 5: Solve for x
    x = 979,110,250,000/475,094
  6. Step 6: Final answer
    x = 2,060,876.90

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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.