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Finding the Third Proportional to 803,902 and 1,673,960

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Solution

The third proportional to 803,902 and 1,673,960 is: 3,485,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,902 : 1,673,960 = 1,673,960 : x
  2. Step 2: Convert to fraction form
    803,902/1,673,960 = 1,673,960/x
  3. Step 3: Cross multiply
    803,902x = 1,673,960 × 1,673,960
  4. Step 4: Simplify right side
    803,902x = 2,802,142,081,600
  5. Step 5: Solve for x
    x = 2,802,142,081,600/803,902
  6. Step 6: Final answer
    x = 3,485,676.22

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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.