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Finding the Third Proportional to 1,645,264 and 3,668,619

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Solution

The third proportional to 1,645,264 and 3,668,619 is: 8,180,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,264 : 3,668,619 = 3,668,619 : x
  2. Step 2: Convert to fraction form
    1,645,264/3,668,619 = 3,668,619/x
  3. Step 3: Cross multiply
    1,645,264x = 3,668,619 × 3,668,619
  4. Step 4: Simplify right side
    1,645,264x = 13,458,765,367,161
  5. Step 5: Solve for x
    x = 13,458,765,367,161/1,645,264
  6. Step 6: Final answer
    x = 8,180,307.46

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.