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Finding the Third Proportional to 626,696 and 1,286,572

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Solution

The third proportional to 626,696 and 1,286,572 is: 2,641,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,696 : 1,286,572 = 1,286,572 : x
  2. Step 2: Convert to fraction form
    626,696/1,286,572 = 1,286,572/x
  3. Step 3: Cross multiply
    626,696x = 1,286,572 × 1,286,572
  4. Step 4: Simplify right side
    626,696x = 1,655,267,511,184
  5. Step 5: Solve for x
    x = 1,655,267,511,184/626,696
  6. Step 6: Final answer
    x = 2,641,260.69

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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.