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Finding the Third Proportional to 774,745.17 and 1,673,978.48

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Solution

The third proportional to 774,745.17 and 1,673,978.48 is: 3,616,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,745.17 : 1,673,978.48 = 1,673,978.48 : x
  2. Step 2: Convert to fraction form
    774,745.17/1,673,978.48 = 1,673,978.48/x
  3. Step 3: Cross multiply
    774,745.17x = 1,673,978.48 × 1,673,978.48
  4. Step 4: Simplify right side
    774,745.17x = 2,802,203,966,150.42
  5. Step 5: Solve for x
    x = 2,802,203,966,150.42/774,745.17
  6. Step 6: Final answer
    x = 3,616,936.34

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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.