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Finding the Third Proportional to 898,272 and 1,965,504

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Solution

The third proportional to 898,272 and 1,965,504 is: 4,300,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,272 : 1,965,504 = 1,965,504 : x
  2. Step 2: Convert to fraction form
    898,272/1,965,504 = 1,965,504/x
  3. Step 3: Cross multiply
    898,272x = 1,965,504 × 1,965,504
  4. Step 4: Simplify right side
    898,272x = 3,863,205,974,016
  5. Step 5: Solve for x
    x = 3,863,205,974,016/898,272
  6. Step 6: Final answer
    x = 4,300,708.44

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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.