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Finding the Third Proportional to 545,814 and 851,932

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Solution

The third proportional to 545,814 and 851,932 is: 1,329,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,814 : 851,932 = 851,932 : x
  2. Step 2: Convert to fraction form
    545,814/851,932 = 851,932/x
  3. Step 3: Cross multiply
    545,814x = 851,932 × 851,932
  4. Step 4: Simplify right side
    545,814x = 725,788,132,624
  5. Step 5: Solve for x
    x = 725,788,132,624/545,814
  6. Step 6: Final answer
    x = 1,329,735.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.