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Finding the Third Proportional to 3,054,591 and 4,529,047.50

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Solution

The third proportional to 3,054,591 and 4,529,047.50 is: 6,715,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054,591 : 4,529,047.50 = 4,529,047.50 : x
  2. Step 2: Convert to fraction form
    3,054,591/4,529,047.50 = 4,529,047.50/x
  3. Step 3: Cross multiply
    3,054,591x = 4,529,047.50 × 4,529,047.50
  4. Step 4: Simplify right side
    3,054,591x = 20,512,271,257,256.25
  5. Step 5: Solve for x
    x = 20,512,271,257,256.25/3,054,591
  6. Step 6: Final answer
    x = 6,715,226.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.