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Finding the Third Proportional to 946,014 and 2,068,079

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Solution

The third proportional to 946,014 and 2,068,079 is: 4,521,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,014 : 2,068,079 = 2,068,079 : x
  2. Step 2: Convert to fraction form
    946,014/2,068,079 = 2,068,079/x
  3. Step 3: Cross multiply
    946,014x = 2,068,079 × 2,068,079
  4. Step 4: Simplify right side
    946,014x = 4,276,950,750,241
  5. Step 5: Solve for x
    x = 4,276,950,750,241/946,014
  6. Step 6: Final answer
    x = 4,521,022.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.