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Finding the Third Proportional to 897,348 and 1,952,162

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Solution

The third proportional to 897,348 and 1,952,162 is: 4,246,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,348 : 1,952,162 = 1,952,162 : x
  2. Step 2: Convert to fraction form
    897,348/1,952,162 = 1,952,162/x
  3. Step 3: Cross multiply
    897,348x = 1,952,162 × 1,952,162
  4. Step 4: Simplify right side
    897,348x = 3,810,936,474,244
  5. Step 5: Solve for x
    x = 3,810,936,474,244/897,348
  6. Step 6: Final answer
    x = 4,246,888.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.