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Finding the Third Proportional to 804,818 and 1,207,325

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Solution

The third proportional to 804,818 and 1,207,325 is: 1,811,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,818 : 1,207,325 = 1,207,325 : x
  2. Step 2: Convert to fraction form
    804,818/1,207,325 = 1,207,325/x
  3. Step 3: Cross multiply
    804,818x = 1,207,325 × 1,207,325
  4. Step 4: Simplify right side
    804,818x = 1,457,633,655,625
  5. Step 5: Solve for x
    x = 1,457,633,655,625/804,818
  6. Step 6: Final answer
    x = 1,811,134.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.