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Finding the Third Proportional to 1,662,168.94 and 3,639,617.72

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Solution

The third proportional to 1,662,168.94 and 3,639,617.72 is: 7,969,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,168.94 : 3,639,617.72 = 3,639,617.72 : x
  2. Step 2: Convert to fraction form
    1,662,168.94/3,639,617.72 = 3,639,617.72/x
  3. Step 3: Cross multiply
    1,662,168.94x = 3,639,617.72 × 3,639,617.72
  4. Step 4: Simplify right side
    1,662,168.94x = 13,246,817,138,638.95
  5. Step 5: Solve for x
    x = 13,246,817,138,638.95/1,662,168.94
  6. Step 6: Final answer
    x = 7,969,597.34

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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.