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Finding the Third Proportional to 2,033,532 and 4,421,196

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Solution

The third proportional to 2,033,532 and 4,421,196 is: 9,612,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,532 : 4,421,196 = 4,421,196 : x
  2. Step 2: Convert to fraction form
    2,033,532/4,421,196 = 4,421,196/x
  3. Step 3: Cross multiply
    2,033,532x = 4,421,196 × 4,421,196
  4. Step 4: Simplify right side
    2,033,532x = 19,546,974,070,416
  5. Step 5: Solve for x
    x = 19,546,974,070,416/2,033,532
  6. Step 6: Final answer
    x = 9,612,326.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.