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Finding the Third Proportional to 2,033,532 and 4,428,747

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Solution

The third proportional to 2,033,532 and 4,428,747 is: 9,645,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,532 : 4,428,747 = 4,428,747 : x
  2. Step 2: Convert to fraction form
    2,033,532/4,428,747 = 4,428,747/x
  3. Step 3: Cross multiply
    2,033,532x = 4,428,747 × 4,428,747
  4. Step 4: Simplify right side
    2,033,532x = 19,613,799,990,009
  5. Step 5: Solve for x
    x = 19,613,799,990,009/2,033,532
  6. Step 6: Final answer
    x = 9,645,188.76

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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.