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Finding the Third Proportional to 1,675,416.66 and 3,616,561.41

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Solution

The third proportional to 1,675,416.66 and 3,616,561.41 is: 7,806,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,416.66 : 3,616,561.41 = 3,616,561.41 : x
  2. Step 2: Convert to fraction form
    1,675,416.66/3,616,561.41 = 3,616,561.41/x
  3. Step 3: Cross multiply
    1,675,416.66x = 3,616,561.41 × 3,616,561.41
  4. Step 4: Simplify right side
    1,675,416.66x = 13,079,516,405,176.98
  5. Step 5: Solve for x
    x = 13,079,516,405,176.98/1,675,416.66
  6. Step 6: Final answer
    x = 7,806,724.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.