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Finding the Third Proportional to 2,033,602 and 4,382,400

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Solution

The third proportional to 2,033,602 and 4,382,400 is: 9,444,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,602 : 4,382,400 = 4,382,400 : x
  2. Step 2: Convert to fraction form
    2,033,602/4,382,400 = 4,382,400/x
  3. Step 3: Cross multiply
    2,033,602x = 4,382,400 × 4,382,400
  4. Step 4: Simplify right side
    2,033,602x = 19,205,429,760,000
  5. Step 5: Solve for x
    x = 19,205,429,760,000/2,033,602
  6. Step 6: Final answer
    x = 9,444,045.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.