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Finding the Third Proportional to 1,076,307 and 2,307,162

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Solution

The third proportional to 1,076,307 and 2,307,162 is: 4,945,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,307 : 2,307,162 = 2,307,162 : x
  2. Step 2: Convert to fraction form
    1,076,307/2,307,162 = 2,307,162/x
  3. Step 3: Cross multiply
    1,076,307x = 2,307,162 × 2,307,162
  4. Step 4: Simplify right side
    1,076,307x = 5,322,996,494,244
  5. Step 5: Solve for x
    x = 5,322,996,494,244/1,076,307
  6. Step 6: Final answer
    x = 4,945,611.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.