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Finding the Third Proportional to 716,100 and 1,576,176

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Solution

The third proportional to 716,100 and 1,576,176 is: 3,469,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,100 : 1,576,176 = 1,576,176 : x
  2. Step 2: Convert to fraction form
    716,100/1,576,176 = 1,576,176/x
  3. Step 3: Cross multiply
    716,100x = 1,576,176 × 1,576,176
  4. Step 4: Simplify right side
    716,100x = 2,484,330,782,976
  5. Step 5: Solve for x
    x = 2,484,330,782,976/716,100
  6. Step 6: Final answer
    x = 3,469,251.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.