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Finding the Third Proportional to 535,444 and 1,168,555

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Solution

The third proportional to 535,444 and 1,168,555 is: 2,550,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,444 : 1,168,555 = 1,168,555 : x
  2. Step 2: Convert to fraction form
    535,444/1,168,555 = 1,168,555/x
  3. Step 3: Cross multiply
    535,444x = 1,168,555 × 1,168,555
  4. Step 4: Simplify right side
    535,444x = 1,365,520,788,025
  5. Step 5: Solve for x
    x = 1,365,520,788,025/535,444
  6. Step 6: Final answer
    x = 2,550,258.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.