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Finding the Third Proportional to 2,590,096 and 5,495,804

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Solution

The third proportional to 2,590,096 and 5,495,804 is: 11,661,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590,096 : 5,495,804 = 5,495,804 : x
  2. Step 2: Convert to fraction form
    2,590,096/5,495,804 = 5,495,804/x
  3. Step 3: Cross multiply
    2,590,096x = 5,495,804 × 5,495,804
  4. Step 4: Simplify right side
    2,590,096x = 30,203,861,606,416
  5. Step 5: Solve for x
    x = 30,203,861,606,416/2,590,096
  6. Step 6: Final answer
    x = 11,661,290.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.