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Finding the Third Proportional to 1,843,112.81 and 2,884,954.22

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Solution

The third proportional to 1,843,112.81 and 2,884,954.22 is: 4,515,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,112.81 : 2,884,954.22 = 2,884,954.22 : x
  2. Step 2: Convert to fraction form
    1,843,112.81/2,884,954.22 = 2,884,954.22/x
  3. Step 3: Cross multiply
    1,843,112.81x = 2,884,954.22 × 2,884,954.22
  4. Step 4: Simplify right side
    1,843,112.81x = 8,322,960,844,283.42
  5. Step 5: Solve for x
    x = 8,322,960,844,283.42/1,843,112.81
  6. Step 6: Final answer
    x = 4,515,708.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.