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Finding the Third Proportional to 1,668,674.25 and 2,584,995.50

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Solution

The third proportional to 1,668,674.25 and 2,584,995.50 is: 4,004,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,674.25 : 2,584,995.50 = 2,584,995.50 : x
  2. Step 2: Convert to fraction form
    1,668,674.25/2,584,995.50 = 2,584,995.50/x
  3. Step 3: Cross multiply
    1,668,674.25x = 2,584,995.50 × 2,584,995.50
  4. Step 4: Simplify right side
    1,668,674.25x = 6,682,201,735,020.25
  5. Step 5: Solve for x
    x = 6,682,201,735,020.25/1,668,674.25
  6. Step 6: Final answer
    x = 4,004,497.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.