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Finding the Third Proportional to 438,969 and 961,821.50

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Solution

The third proportional to 438,969 and 961,821.50 is: 2,107,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,969 : 961,821.50 = 961,821.50 : x
  2. Step 2: Convert to fraction form
    438,969/961,821.50 = 961,821.50/x
  3. Step 3: Cross multiply
    438,969x = 961,821.50 × 961,821.50
  4. Step 4: Simplify right side
    438,969x = 925,100,597,862.25
  5. Step 5: Solve for x
    x = 925,100,597,862.25/438,969
  6. Step 6: Final answer
    x = 2,107,439.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.