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Finding the Third Proportional to 2,569,026 and 5,595,739

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Solution

The third proportional to 2,569,026 and 5,595,739 is: 12,188,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,026 : 5,595,739 = 5,595,739 : x
  2. Step 2: Convert to fraction form
    2,569,026/5,595,739 = 5,595,739/x
  3. Step 3: Cross multiply
    2,569,026x = 5,595,739 × 5,595,739
  4. Step 4: Simplify right side
    2,569,026x = 31,312,294,956,121
  5. Step 5: Solve for x
    x = 31,312,294,956,121/2,569,026
  6. Step 6: Final answer
    x = 12,188,391.61

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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.