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Finding the Third Proportional to 945,906 and 1,428,679

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Solution

The third proportional to 945,906 and 1,428,679 is: 2,157,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,906 : 1,428,679 = 1,428,679 : x
  2. Step 2: Convert to fraction form
    945,906/1,428,679 = 1,428,679/x
  3. Step 3: Cross multiply
    945,906x = 1,428,679 × 1,428,679
  4. Step 4: Simplify right side
    945,906x = 2,041,123,685,041
  5. Step 5: Solve for x
    x = 2,041,123,685,041/945,906
  6. Step 6: Final answer
    x = 2,157,850.45

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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.