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Finding the Third Proportional to 475,077 and 989,466

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Solution

The third proportional to 475,077 and 989,466 is: 2,060,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,077 : 989,466 = 989,466 : x
  2. Step 2: Convert to fraction form
    475,077/989,466 = 989,466/x
  3. Step 3: Cross multiply
    475,077x = 989,466 × 989,466
  4. Step 4: Simplify right side
    475,077x = 979,042,965,156
  5. Step 5: Solve for x
    x = 979,042,965,156/475,077
  6. Step 6: Final answer
    x = 2,060,809.02

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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.