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Finding the Third Proportional to 864,823.50 and 1,841,899.50

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Solution

The third proportional to 864,823.50 and 1,841,899.50 is: 3,922,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,823.50 : 1,841,899.50 = 1,841,899.50 : x
  2. Step 2: Convert to fraction form
    864,823.50/1,841,899.50 = 1,841,899.50/x
  3. Step 3: Cross multiply
    864,823.50x = 1,841,899.50 × 1,841,899.50
  4. Step 4: Simplify right side
    864,823.50x = 3,392,593,768,100.25
  5. Step 5: Solve for x
    x = 3,392,593,768,100.25/864,823.50
  6. Step 6: Final answer
    x = 3,922,874.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.