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Finding the Third Proportional to 1,828,038 and 3,961,162

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Solution

The third proportional to 1,828,038 and 3,961,162 is: 8,583,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,038 : 3,961,162 = 3,961,162 : x
  2. Step 2: Convert to fraction form
    1,828,038/3,961,162 = 3,961,162/x
  3. Step 3: Cross multiply
    1,828,038x = 3,961,162 × 3,961,162
  4. Step 4: Simplify right side
    1,828,038x = 15,690,804,390,244
  5. Step 5: Solve for x
    x = 15,690,804,390,244/1,828,038
  6. Step 6: Final answer
    x = 8,583,412.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.