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Finding the Third Proportional to 1,067,328.14 and 2,342,310.22

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Solution

The third proportional to 1,067,328.14 and 2,342,310.22 is: 5,140,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,328.14 : 2,342,310.22 = 2,342,310.22 : x
  2. Step 2: Convert to fraction form
    1,067,328.14/2,342,310.22 = 2,342,310.22/x
  3. Step 3: Cross multiply
    1,067,328.14x = 2,342,310.22 × 2,342,310.22
  4. Step 4: Simplify right side
    1,067,328.14x = 5,486,417,179,159.74
  5. Step 5: Solve for x
    x = 5,486,417,179,159.74/1,067,328.14
  6. Step 6: Final answer
    x = 5,140,328.42

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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.