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Finding the Third Proportional to 897,596 and 1,921,274

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Solution

The third proportional to 897,596 and 1,921,274 is: 4,112,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,596 : 1,921,274 = 1,921,274 : x
  2. Step 2: Convert to fraction form
    897,596/1,921,274 = 1,921,274/x
  3. Step 3: Cross multiply
    897,596x = 1,921,274 × 1,921,274
  4. Step 4: Simplify right side
    897,596x = 3,691,293,783,076
  5. Step 5: Solve for x
    x = 3,691,293,783,076/897,596
  6. Step 6: Final answer
    x = 4,112,422.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.