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Finding the Third Proportional to 2,711,576.25 and 4,095,157.50

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Solution

The third proportional to 2,711,576.25 and 4,095,157.50 is: 6,184,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,576.25 : 4,095,157.50 = 4,095,157.50 : x
  2. Step 2: Convert to fraction form
    2,711,576.25/4,095,157.50 = 4,095,157.50/x
  3. Step 3: Cross multiply
    2,711,576.25x = 4,095,157.50 × 4,095,157.50
  4. Step 4: Simplify right side
    2,711,576.25x = 16,770,314,949,806.25
  5. Step 5: Solve for x
    x = 16,770,314,949,806.25/2,711,576.25
  6. Step 6: Final answer
    x = 6,184,710.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.