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Finding the Third Proportional to 1,361,578.36 and 3,209,559.19

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Solution

The third proportional to 1,361,578.36 and 3,209,559.19 is: 7,565,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,578.36 : 3,209,559.19 = 3,209,559.19 : x
  2. Step 2: Convert to fraction form
    1,361,578.36/3,209,559.19 = 3,209,559.19/x
  3. Step 3: Cross multiply
    1,361,578.36x = 3,209,559.19 × 3,209,559.19
  4. Step 4: Simplify right side
    1,361,578.36x = 10,301,270,178,065.66
  5. Step 5: Solve for x
    x = 10,301,270,178,065.66/1,361,578.36
  6. Step 6: Final answer
    x = 7,565,682.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.