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Finding the Third Proportional to 804,049 and 1,674,254

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Solution

The third proportional to 804,049 and 1,674,254 is: 3,486,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,049 : 1,674,254 = 1,674,254 : x
  2. Step 2: Convert to fraction form
    804,049/1,674,254 = 1,674,254/x
  3. Step 3: Cross multiply
    804,049x = 1,674,254 × 1,674,254
  4. Step 4: Simplify right side
    804,049x = 2,803,126,456,516
  5. Step 5: Solve for x
    x = 2,803,126,456,516/804,049
  6. Step 6: Final answer
    x = 3,486,263.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.