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Finding the Third Proportional to 2,606,311.69 and 3,943,135.69

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Solution

The third proportional to 2,606,311.69 and 3,943,135.69 is: 5,965,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,311.69 : 3,943,135.69 = 3,943,135.69 : x
  2. Step 2: Convert to fraction form
    2,606,311.69/3,943,135.69 = 3,943,135.69/x
  3. Step 3: Cross multiply
    2,606,311.69x = 3,943,135.69 × 3,943,135.69
  4. Step 4: Simplify right side
    2,606,311.69x = 15,548,319,050,036.10
  5. Step 5: Solve for x
    x = 15,548,319,050,036.10/2,606,311.69
  6. Step 6: Final answer
    x = 5,965,640.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.