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Finding the Third Proportional to 942,848 and 1,427,968

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Solution

The third proportional to 942,848 and 1,427,968 is: 2,162,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,848 : 1,427,968 = 1,427,968 : x
  2. Step 2: Convert to fraction form
    942,848/1,427,968 = 1,427,968/x
  3. Step 3: Cross multiply
    942,848x = 1,427,968 × 1,427,968
  4. Step 4: Simplify right side
    942,848x = 2,039,092,609,024
  5. Step 5: Solve for x
    x = 2,039,092,609,024/942,848
  6. Step 6: Final answer
    x = 2,162,694.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.