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Finding the Third Proportional to 1,732,969.69 and 2,535,279.75

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Solution

The third proportional to 1,732,969.69 and 2,535,279.75 is: 3,709,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,969.69 : 2,535,279.75 = 2,535,279.75 : x
  2. Step 2: Convert to fraction form
    1,732,969.69/2,535,279.75 = 2,535,279.75/x
  3. Step 3: Cross multiply
    1,732,969.69x = 2,535,279.75 × 2,535,279.75
  4. Step 4: Simplify right side
    1,732,969.69x = 6,427,643,410,760.06
  5. Step 5: Solve for x
    x = 6,427,643,410,760.06/1,732,969.69
  6. Step 6: Final answer
    x = 3,709,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.