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Finding the Third Proportional to 810,238.50 and 1,769,968.50

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Solution

The third proportional to 810,238.50 and 1,769,968.50 is: 3,866,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,238.50 : 1,769,968.50 = 1,769,968.50 : x
  2. Step 2: Convert to fraction form
    810,238.50/1,769,968.50 = 1,769,968.50/x
  3. Step 3: Cross multiply
    810,238.50x = 1,769,968.50 × 1,769,968.50
  4. Step 4: Simplify right side
    810,238.50x = 3,132,788,490,992.25
  5. Step 5: Solve for x
    x = 3,132,788,490,992.25/810,238.50
  6. Step 6: Final answer
    x = 3,866,501.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.