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Finding the Third Proportional to 1,646,704.69 and 3,568,303.13

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Solution

The third proportional to 1,646,704.69 and 3,568,303.13 is: 7,732,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,704.69 : 3,568,303.13 = 3,568,303.13 : x
  2. Step 2: Convert to fraction form
    1,646,704.69/3,568,303.13 = 3,568,303.13/x
  3. Step 3: Cross multiply
    1,646,704.69x = 3,568,303.13 × 3,568,303.13
  4. Step 4: Simplify right side
    1,646,704.69x = 12,732,787,191,884.77
  5. Step 5: Solve for x
    x = 12,732,787,191,884.77/1,646,704.69
  6. Step 6: Final answer
    x = 7,732,283.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.