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Finding the Third Proportional to 1,845,296 and 3,966,496

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Solution

The third proportional to 1,845,296 and 3,966,496 is: 8,526,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845,296 : 3,966,496 = 3,966,496 : x
  2. Step 2: Convert to fraction form
    1,845,296/3,966,496 = 3,966,496/x
  3. Step 3: Cross multiply
    1,845,296x = 3,966,496 × 3,966,496
  4. Step 4: Simplify right side
    1,845,296x = 15,733,090,518,016
  5. Step 5: Solve for x
    x = 15,733,090,518,016/1,845,296
  6. Step 6: Final answer
    x = 8,526,052.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.