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Finding the Third Proportional to 511,887 and 1,102,263

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Solution

The third proportional to 511,887 and 1,102,263 is: 2,373,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,887 : 1,102,263 = 1,102,263 : x
  2. Step 2: Convert to fraction form
    511,887/1,102,263 = 1,102,263/x
  3. Step 3: Cross multiply
    511,887x = 1,102,263 × 1,102,263
  4. Step 4: Simplify right side
    511,887x = 1,214,983,721,169
  5. Step 5: Solve for x
    x = 1,214,983,721,169/511,887
  6. Step 6: Final answer
    x = 2,373,538.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.