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Finding the Third Proportional to 2,563,096 and 3,604,823

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Solution

The third proportional to 2,563,096 and 3,604,823 is: 5,069,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,096 : 3,604,823 = 3,604,823 : x
  2. Step 2: Convert to fraction form
    2,563,096/3,604,823 = 3,604,823/x
  3. Step 3: Cross multiply
    2,563,096x = 3,604,823 × 3,604,823
  4. Step 4: Simplify right side
    2,563,096x = 12,994,748,861,329
  5. Step 5: Solve for x
    x = 12,994,748,861,329/2,563,096
  6. Step 6: Final answer
    x = 5,069,942.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.