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Finding the Third Proportional to 656,751 and 1,418,286

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Solution

The third proportional to 656,751 and 1,418,286 is: 3,062,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,751 : 1,418,286 = 1,418,286 : x
  2. Step 2: Convert to fraction form
    656,751/1,418,286 = 1,418,286/x
  3. Step 3: Cross multiply
    656,751x = 1,418,286 × 1,418,286
  4. Step 4: Simplify right side
    656,751x = 2,011,535,177,796
  5. Step 5: Solve for x
    x = 2,011,535,177,796/656,751
  6. Step 6: Final answer
    x = 3,062,858.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.