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Finding the Third Proportional to 945,966 and 1,468,772

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Solution

The third proportional to 945,966 and 1,468,772 is: 2,280,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,966 : 1,468,772 = 1,468,772 : x
  2. Step 2: Convert to fraction form
    945,966/1,468,772 = 1,468,772/x
  3. Step 3: Cross multiply
    945,966x = 1,468,772 × 1,468,772
  4. Step 4: Simplify right side
    945,966x = 2,157,291,187,984
  5. Step 5: Solve for x
    x = 2,157,291,187,984/945,966
  6. Step 6: Final answer
    x = 2,280,516.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.