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Finding the Third Proportional to 1,619,632.50 and 3,544,347

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Solution

The third proportional to 1,619,632.50 and 3,544,347 is: 7,756,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,632.50 : 3,544,347 = 3,544,347 : x
  2. Step 2: Convert to fraction form
    1,619,632.50/3,544,347 = 3,544,347/x
  3. Step 3: Cross multiply
    1,619,632.50x = 3,544,347 × 3,544,347
  4. Step 4: Simplify right side
    1,619,632.50x = 12,562,395,656,409
  5. Step 5: Solve for x
    x = 12,562,395,656,409/1,619,632.50
  6. Step 6: Final answer
    x = 7,756,324.76

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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.