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Finding the Third Proportional to 475,092 and 989,496

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Solution

The third proportional to 475,092 and 989,496 is: 2,060,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,092 : 989,496 = 989,496 : x
  2. Step 2: Convert to fraction form
    475,092/989,496 = 989,496/x
  3. Step 3: Cross multiply
    475,092x = 989,496 × 989,496
  4. Step 4: Simplify right side
    475,092x = 979,102,334,016
  5. Step 5: Solve for x
    x = 979,102,334,016/475,092
  6. Step 6: Final answer
    x = 2,060,868.91

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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.