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Finding the Third Proportional to 475,084 and 989,480

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Solution

The third proportional to 475,084 and 989,480 is: 2,060,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,084 : 989,480 = 989,480 : x
  2. Step 2: Convert to fraction form
    475,084/989,480 = 989,480/x
  3. Step 3: Cross multiply
    475,084x = 989,480 × 989,480
  4. Step 4: Simplify right side
    475,084x = 979,070,670,400
  5. Step 5: Solve for x
    x = 979,070,670,400/475,084
  6. Step 6: Final answer
    x = 2,060,836.97

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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.