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Finding the Third Proportional to 2,631,823 and 5,655,120

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Solution

The third proportional to 2,631,823 and 5,655,120 is: 12,151,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631,823 : 5,655,120 = 5,655,120 : x
  2. Step 2: Convert to fraction form
    2,631,823/5,655,120 = 5,655,120/x
  3. Step 3: Cross multiply
    2,631,823x = 5,655,120 × 5,655,120
  4. Step 4: Simplify right side
    2,631,823x = 31,980,382,214,400
  5. Step 5: Solve for x
    x = 31,980,382,214,400/2,631,823
  6. Step 6: Final answer
    x = 12,151,418.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.