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Finding the Third Proportional to 858,036 and 1,880,916

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Solution

The third proportional to 858,036 and 1,880,916 is: 4,123,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,036 : 1,880,916 = 1,880,916 : x
  2. Step 2: Convert to fraction form
    858,036/1,880,916 = 1,880,916/x
  3. Step 3: Cross multiply
    858,036x = 1,880,916 × 1,880,916
  4. Step 4: Simplify right side
    858,036x = 3,537,844,999,056
  5. Step 5: Solve for x
    x = 3,537,844,999,056/858,036
  6. Step 6: Final answer
    x = 4,123,189.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.