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Finding the Third Proportional to 1,866,040 and 2,970,668

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Solution

The third proportional to 1,866,040 and 2,970,668 is: 4,729,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,040 : 2,970,668 = 2,970,668 : x
  2. Step 2: Convert to fraction form
    1,866,040/2,970,668 = 2,970,668/x
  3. Step 3: Cross multiply
    1,866,040x = 2,970,668 × 2,970,668
  4. Step 4: Simplify right side
    1,866,040x = 8,824,868,366,224
  5. Step 5: Solve for x
    x = 8,824,868,366,224/1,866,040
  6. Step 6: Final answer
    x = 4,729,195.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.