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Finding the Third Proportional to 809,446 and 1,187,925

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Solution

The third proportional to 809,446 and 1,187,925 is: 1,743,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,446 : 1,187,925 = 1,187,925 : x
  2. Step 2: Convert to fraction form
    809,446/1,187,925 = 1,187,925/x
  3. Step 3: Cross multiply
    809,446x = 1,187,925 × 1,187,925
  4. Step 4: Simplify right side
    809,446x = 1,411,165,805,625
  5. Step 5: Solve for x
    x = 1,411,165,805,625/809,446
  6. Step 6: Final answer
    x = 1,743,372.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.