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Finding the Third Proportional to 897,420 and 1,896,144

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Solution

The third proportional to 897,420 and 1,896,144 is: 4,006,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,420 : 1,896,144 = 1,896,144 : x
  2. Step 2: Convert to fraction form
    897,420/1,896,144 = 1,896,144/x
  3. Step 3: Cross multiply
    897,420x = 1,896,144 × 1,896,144
  4. Step 4: Simplify right side
    897,420x = 3,595,362,068,736
  5. Step 5: Solve for x
    x = 3,595,362,068,736/897,420
  6. Step 6: Final answer
    x = 4,006,331.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.