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Finding the Third Proportional to 503,622 and 1,159,818.75

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Solution

The third proportional to 503,622 and 1,159,818.75 is: 2,671,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,622 : 1,159,818.75 = 1,159,818.75 : x
  2. Step 2: Convert to fraction form
    503,622/1,159,818.75 = 1,159,818.75/x
  3. Step 3: Cross multiply
    503,622x = 1,159,818.75 × 1,159,818.75
  4. Step 4: Simplify right side
    503,622x = 1,345,179,532,851.56
  5. Step 5: Solve for x
    x = 1,345,179,532,851.56/503,622
  6. Step 6: Final answer
    x = 2,671,010.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.