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Finding the Third Proportional to 499,434 and 1,100,664

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Solution

The third proportional to 499,434 and 1,100,664 is: 2,425,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,434 : 1,100,664 = 1,100,664 : x
  2. Step 2: Convert to fraction form
    499,434/1,100,664 = 1,100,664/x
  3. Step 3: Cross multiply
    499,434x = 1,100,664 × 1,100,664
  4. Step 4: Simplify right side
    499,434x = 1,211,461,240,896
  5. Step 5: Solve for x
    x = 1,211,461,240,896/499,434
  6. Step 6: Final answer
    x = 2,425,668.34

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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.