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Finding the Third Proportional to 801,684 and 1,232,766

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Solution

The third proportional to 801,684 and 1,232,766 is: 1,895,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,684 : 1,232,766 = 1,232,766 : x
  2. Step 2: Convert to fraction form
    801,684/1,232,766 = 1,232,766/x
  3. Step 3: Cross multiply
    801,684x = 1,232,766 × 1,232,766
  4. Step 4: Simplify right side
    801,684x = 1,519,712,010,756
  5. Step 5: Solve for x
    x = 1,519,712,010,756/801,684
  6. Step 6: Final answer
    x = 1,895,649.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.