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Finding the Third Proportional to 2,945,720 and 4,571,811

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Solution

The third proportional to 2,945,720 and 4,571,811 is: 7,095,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945,720 : 4,571,811 = 4,571,811 : x
  2. Step 2: Convert to fraction form
    2,945,720/4,571,811 = 4,571,811/x
  3. Step 3: Cross multiply
    2,945,720x = 4,571,811 × 4,571,811
  4. Step 4: Simplify right side
    2,945,720x = 20,901,455,819,721
  5. Step 5: Solve for x
    x = 20,901,455,819,721/2,945,720
  6. Step 6: Final answer
    x = 7,095,533.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.