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Finding the Third Proportional to 945,927 and 1,468,719

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Solution

The third proportional to 945,927 and 1,468,719 is: 2,280,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,927 : 1,468,719 = 1,468,719 : x
  2. Step 2: Convert to fraction form
    945,927/1,468,719 = 1,468,719/x
  3. Step 3: Cross multiply
    945,927x = 1,468,719 × 1,468,719
  4. Step 4: Simplify right side
    945,927x = 2,157,135,500,961
  5. Step 5: Solve for x
    x = 2,157,135,500,961/945,927
  6. Step 6: Final answer
    x = 2,280,446.06

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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.