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Finding the Third Proportional to 823,040 and 1,803,648

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Solution

The third proportional to 823,040 and 1,803,648 is: 3,952,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,040 : 1,803,648 = 1,803,648 : x
  2. Step 2: Convert to fraction form
    823,040/1,803,648 = 1,803,648/x
  3. Step 3: Cross multiply
    823,040x = 1,803,648 × 1,803,648
  4. Step 4: Simplify right side
    823,040x = 3,253,146,107,904
  5. Step 5: Solve for x
    x = 3,253,146,107,904/823,040
  6. Step 6: Final answer
    x = 3,952,597.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.