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Finding the Third Proportional to 1,843,129.69 and 2,884,982.06

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Solution

The third proportional to 1,843,129.69 and 2,884,982.06 is: 4,515,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,129.69 : 2,884,982.06 = 2,884,982.06 : x
  2. Step 2: Convert to fraction form
    1,843,129.69/2,884,982.06 = 2,884,982.06/x
  3. Step 3: Cross multiply
    1,843,129.69x = 2,884,982.06 × 2,884,982.06
  4. Step 4: Simplify right side
    1,843,129.69x = 8,323,121,500,946.75
  5. Step 5: Solve for x
    x = 8,323,121,500,946.75/1,843,129.69
  6. Step 6: Final answer
    x = 4,515,754.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.