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Finding the Third Proportional to 803,078 and 1,738,462

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Solution

The third proportional to 803,078 and 1,738,462 is: 3,763,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,078 : 1,738,462 = 1,738,462 : x
  2. Step 2: Convert to fraction form
    803,078/1,738,462 = 1,738,462/x
  3. Step 3: Cross multiply
    803,078x = 1,738,462 × 1,738,462
  4. Step 4: Simplify right side
    803,078x = 3,022,250,125,444
  5. Step 5: Solve for x
    x = 3,022,250,125,444/803,078
  6. Step 6: Final answer
    x = 3,763,333.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.