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Finding the Third Proportional to 1,702,632.94 and 3,704,201.44

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Solution

The third proportional to 1,702,632.94 and 3,704,201.44 is: 8,058,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,632.94 : 3,704,201.44 = 3,704,201.44 : x
  2. Step 2: Convert to fraction form
    1,702,632.94/3,704,201.44 = 3,704,201.44/x
  3. Step 3: Cross multiply
    1,702,632.94x = 3,704,201.44 × 3,704,201.44
  4. Step 4: Simplify right side
    1,702,632.94x = 13,721,108,289,577.07
  5. Step 5: Solve for x
    x = 13,721,108,289,577.07/1,702,632.94
  6. Step 6: Final answer
    x = 8,058,758.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.