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Finding the Third Proportional to 809,460 and 1,187,946

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Solution

The third proportional to 809,460 and 1,187,946 is: 1,743,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,460 : 1,187,946 = 1,187,946 : x
  2. Step 2: Convert to fraction form
    809,460/1,187,946 = 1,187,946/x
  3. Step 3: Cross multiply
    809,460x = 1,187,946 × 1,187,946
  4. Step 4: Simplify right side
    809,460x = 1,411,215,698,916
  5. Step 5: Solve for x
    x = 1,411,215,698,916/809,460
  6. Step 6: Final answer
    x = 1,743,403.87

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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.