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Finding the Third Proportional to 1,546,186.22 and 2,359,271.81

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Solution

The third proportional to 1,546,186.22 and 2,359,271.81 is: 3,599,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,186.22 : 2,359,271.81 = 2,359,271.81 : x
  2. Step 2: Convert to fraction form
    1,546,186.22/2,359,271.81 = 2,359,271.81/x
  3. Step 3: Cross multiply
    1,546,186.22x = 2,359,271.81 × 2,359,271.81
  4. Step 4: Simplify right side
    1,546,186.22x = 5,566,163,485,257.04
  5. Step 5: Solve for x
    x = 5,566,163,485,257.04/1,546,186.22
  6. Step 6: Final answer
    x = 3,599,930.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.