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Finding the Third Proportional to 535,720 and 1,115,818

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Solution

The third proportional to 535,720 and 1,115,818 is: 2,324,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,720 : 1,115,818 = 1,115,818 : x
  2. Step 2: Convert to fraction form
    535,720/1,115,818 = 1,115,818/x
  3. Step 3: Cross multiply
    535,720x = 1,115,818 × 1,115,818
  4. Step 4: Simplify right side
    535,720x = 1,245,049,809,124
  5. Step 5: Solve for x
    x = 1,245,049,809,124/535,720
  6. Step 6: Final answer
    x = 2,324,068.19

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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.