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Finding the Third Proportional to 1,912,680.53 and 4,041,241.40

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Solution

The third proportional to 1,912,680.53 and 4,041,241.40 is: 8,538,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912,680.53 : 4,041,241.40 = 4,041,241.40 : x
  2. Step 2: Convert to fraction form
    1,912,680.53/4,041,241.40 = 4,041,241.40/x
  3. Step 3: Cross multiply
    1,912,680.53x = 4,041,241.40 × 4,041,241.40
  4. Step 4: Simplify right side
    1,912,680.53x = 16,331,632,056,231.79
  5. Step 5: Solve for x
    x = 16,331,632,056,231.79/1,912,680.53
  6. Step 6: Final answer
    x = 8,538,609.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.