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Finding the Third Proportional to 1,705,594 and 2,555,766

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Solution

The third proportional to 1,705,594 and 2,555,766 is: 3,829,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,594 : 2,555,766 = 2,555,766 : x
  2. Step 2: Convert to fraction form
    1,705,594/2,555,766 = 2,555,766/x
  3. Step 3: Cross multiply
    1,705,594x = 2,555,766 × 2,555,766
  4. Step 4: Simplify right side
    1,705,594x = 6,531,939,846,756
  5. Step 5: Solve for x
    x = 6,531,939,846,756/1,705,594
  6. Step 6: Final answer
    x = 3,829,715.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.