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Finding the Third Proportional to 626,680 and 1,286,536

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Solution

The third proportional to 626,680 and 1,286,536 is: 2,641,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,680 : 1,286,536 = 1,286,536 : x
  2. Step 2: Convert to fraction form
    626,680/1,286,536 = 1,286,536/x
  3. Step 3: Cross multiply
    626,680x = 1,286,536 × 1,286,536
  4. Step 4: Simplify right side
    626,680x = 1,655,174,879,296
  5. Step 5: Solve for x
    x = 1,655,174,879,296/626,680
  6. Step 6: Final answer
    x = 2,641,180.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.