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Finding the Third Proportional to 571,911 and 1,129,467

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Solution

The third proportional to 571,911 and 1,129,467 is: 2,230,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,911 : 1,129,467 = 1,129,467 : x
  2. Step 2: Convert to fraction form
    571,911/1,129,467 = 1,129,467/x
  3. Step 3: Cross multiply
    571,911x = 1,129,467 × 1,129,467
  4. Step 4: Simplify right side
    571,911x = 1,275,695,704,089
  5. Step 5: Solve for x
    x = 1,275,695,704,089/571,911
  6. Step 6: Final answer
    x = 2,230,584.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.