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Finding the Third Proportional to 778,256 and 1,676,592

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Solution

The third proportional to 778,256 and 1,676,592 is: 3,611,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,256 : 1,676,592 = 1,676,592 : x
  2. Step 2: Convert to fraction form
    778,256/1,676,592 = 1,676,592/x
  3. Step 3: Cross multiply
    778,256x = 1,676,592 × 1,676,592
  4. Step 4: Simplify right side
    778,256x = 2,810,960,734,464
  5. Step 5: Solve for x
    x = 2,810,960,734,464/778,256
  6. Step 6: Final answer
    x = 3,611,871.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.