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Finding the Third Proportional to 804,460 and 1,180,391

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Solution

The third proportional to 804,460 and 1,180,391 is: 1,731,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,460 : 1,180,391 = 1,180,391 : x
  2. Step 2: Convert to fraction form
    804,460/1,180,391 = 1,180,391/x
  3. Step 3: Cross multiply
    804,460x = 1,180,391 × 1,180,391
  4. Step 4: Simplify right side
    804,460x = 1,393,322,912,881
  5. Step 5: Solve for x
    x = 1,393,322,912,881/804,460
  6. Step 6: Final answer
    x = 1,731,997.75

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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.