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Finding the Third Proportional to 535,067 and 1,114,421

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Solution

The third proportional to 535,067 and 1,114,421 is: 2,321,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,067 : 1,114,421 = 1,114,421 : x
  2. Step 2: Convert to fraction form
    535,067/1,114,421 = 1,114,421/x
  3. Step 3: Cross multiply
    535,067x = 1,114,421 × 1,114,421
  4. Step 4: Simplify right side
    535,067x = 1,241,934,165,241
  5. Step 5: Solve for x
    x = 1,241,934,165,241/535,067
  6. Step 6: Final answer
    x = 2,321,081.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.