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Finding the Third Proportional to 2,804,123 and 6,100,314

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Solution

The third proportional to 2,804,123 and 6,100,314 is: 13,271,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804,123 : 6,100,314 = 6,100,314 : x
  2. Step 2: Convert to fraction form
    2,804,123/6,100,314 = 6,100,314/x
  3. Step 3: Cross multiply
    2,804,123x = 6,100,314 × 6,100,314
  4. Step 4: Simplify right side
    2,804,123x = 37,213,830,898,596
  5. Step 5: Solve for x
    x = 37,213,830,898,596/2,804,123
  6. Step 6: Final answer
    x = 13,271,112.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.