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Finding the Third Proportional to 591,544.31 and 1,286,733

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Solution

The third proportional to 591,544.31 and 1,286,733 is: 2,798,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,544.31 : 1,286,733 = 1,286,733 : x
  2. Step 2: Convert to fraction form
    591,544.31/1,286,733 = 1,286,733/x
  3. Step 3: Cross multiply
    591,544.31x = 1,286,733 × 1,286,733
  4. Step 4: Simplify right side
    591,544.31x = 1,655,681,813,289
  5. Step 5: Solve for x
    x = 1,655,681,813,289/591,544.31
  6. Step 6: Final answer
    x = 2,798,914.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.