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Finding the Third Proportional to 948,082 and 1,761,656

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Solution

The third proportional to 948,082 and 1,761,656 is: 3,273,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,082 : 1,761,656 = 1,761,656 : x
  2. Step 2: Convert to fraction form
    948,082/1,761,656 = 1,761,656/x
  3. Step 3: Cross multiply
    948,082x = 1,761,656 × 1,761,656
  4. Step 4: Simplify right side
    948,082x = 3,103,431,862,336
  5. Step 5: Solve for x
    x = 3,103,431,862,336/948,082
  6. Step 6: Final answer
    x = 3,273,379.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.