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Finding the Third Proportional to 427,328.16 and 911,853.70

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Solution

The third proportional to 427,328.16 and 911,853.70 is: 1,945,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,328.16 : 911,853.70 = 911,853.70 : x
  2. Step 2: Convert to fraction form
    427,328.16/911,853.70 = 911,853.70/x
  3. Step 3: Cross multiply
    427,328.16x = 911,853.70 × 911,853.70
  4. Step 4: Simplify right side
    427,328.16x = 831,477,175,902.78
  5. Step 5: Solve for x
    x = 831,477,175,902.78/427,328.16
  6. Step 6: Final answer
    x = 1,945,757.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.