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Finding the Third Proportional to 3,806,164.69 and 5,829,805.69

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Solution

The third proportional to 3,806,164.69 and 5,829,805.69 is: 8,929,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806,164.69 : 5,829,805.69 = 5,829,805.69 : x
  2. Step 2: Convert to fraction form
    3,806,164.69/5,829,805.69 = 5,829,805.69/x
  3. Step 3: Cross multiply
    3,806,164.69x = 5,829,805.69 × 5,829,805.69
  4. Step 4: Simplify right side
    3,806,164.69x = 33,986,634,354,007.35
  5. Step 5: Solve for x
    x = 33,986,634,354,007.35/3,806,164.69
  6. Step 6: Final answer
    x = 8,929,365.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.