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Finding the Third Proportional to 486,969.47 and 1,067,342.06

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Solution

The third proportional to 486,969.47 and 1,067,342.06 is: 2,339,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,969.47 : 1,067,342.06 = 1,067,342.06 : x
  2. Step 2: Convert to fraction form
    486,969.47/1,067,342.06 = 1,067,342.06/x
  3. Step 3: Cross multiply
    486,969.47x = 1,067,342.06 × 1,067,342.06
  4. Step 4: Simplify right side
    486,969.47x = 1,139,219,078,381.75
  5. Step 5: Solve for x
    x = 1,139,219,078,381.75/486,969.47
  6. Step 6: Final answer
    x = 2,339,405.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.