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Finding the Third Proportional to 513,725 and 1,114,991

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Solution

The third proportional to 513,725 and 1,114,991 is: 2,419,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,725 : 1,114,991 = 1,114,991 : x
  2. Step 2: Convert to fraction form
    513,725/1,114,991 = 1,114,991/x
  3. Step 3: Cross multiply
    513,725x = 1,114,991 × 1,114,991
  4. Step 4: Simplify right side
    513,725x = 1,243,204,930,081
  5. Step 5: Solve for x
    x = 1,243,204,930,081/513,725
  6. Step 6: Final answer
    x = 2,419,981.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.