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Finding the Third Proportional to 2,569,006 and 5,595,702

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Solution

The third proportional to 2,569,006 and 5,595,702 is: 12,188,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,006 : 5,595,702 = 5,595,702 : x
  2. Step 2: Convert to fraction form
    2,569,006/5,595,702 = 5,595,702/x
  3. Step 3: Cross multiply
    2,569,006x = 5,595,702 × 5,595,702
  4. Step 4: Simplify right side
    2,569,006x = 31,311,880,872,804
  5. Step 5: Solve for x
    x = 31,311,880,872,804/2,569,006
  6. Step 6: Final answer
    x = 12,188,325.32

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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.