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Finding the Third Proportional to 1,538,286 and 3,366,440

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Solution

The third proportional to 1,538,286 and 3,366,440 is: 7,367,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,286 : 3,366,440 = 3,366,440 : x
  2. Step 2: Convert to fraction form
    1,538,286/3,366,440 = 3,366,440/x
  3. Step 3: Cross multiply
    1,538,286x = 3,366,440 × 3,366,440
  4. Step 4: Simplify right side
    1,538,286x = 11,332,918,273,600
  5. Step 5: Solve for x
    x = 11,332,918,273,600/1,538,286
  6. Step 6: Final answer
    x = 7,367,237.48

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