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Finding the Third Proportional to 866,384 and 1,900,162

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Solution

The third proportional to 866,384 and 1,900,162 is: 4,167,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,384 : 1,900,162 = 1,900,162 : x
  2. Step 2: Convert to fraction form
    866,384/1,900,162 = 1,900,162/x
  3. Step 3: Cross multiply
    866,384x = 1,900,162 × 1,900,162
  4. Step 4: Simplify right side
    866,384x = 3,610,615,626,244
  5. Step 5: Solve for x
    x = 3,610,615,626,244/866,384
  6. Step 6: Final answer
    x = 4,167,454.18

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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.