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Finding the Third Proportional to 1,682,543.81 and 3,669,597

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Solution

The third proportional to 1,682,543.81 and 3,669,597 is: 8,003,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,543.81 : 3,669,597 = 3,669,597 : x
  2. Step 2: Convert to fraction form
    1,682,543.81/3,669,597 = 3,669,597/x
  3. Step 3: Cross multiply
    1,682,543.81x = 3,669,597 × 3,669,597
  4. Step 4: Simplify right side
    1,682,543.81x = 13,465,942,142,409
  5. Step 5: Solve for x
    x = 13,465,942,142,409/1,682,543.81
  6. Step 6: Final answer
    x = 8,003,323.33

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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.