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Finding the Third Proportional to 804,158 and 1,674,460

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Solution

The third proportional to 804,158 and 1,674,460 is: 3,486,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,158 : 1,674,460 = 1,674,460 : x
  2. Step 2: Convert to fraction form
    804,158/1,674,460 = 1,674,460/x
  3. Step 3: Cross multiply
    804,158x = 1,674,460 × 1,674,460
  4. Step 4: Simplify right side
    804,158x = 2,803,816,291,600
  5. Step 5: Solve for x
    x = 2,803,816,291,600/804,158
  6. Step 6: Final answer
    x = 3,486,648.51

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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.