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Finding the Third Proportional to 451,062 and 980,815.50

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Solution

The third proportional to 451,062 and 980,815.50 is: 2,132,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,062 : 980,815.50 = 980,815.50 : x
  2. Step 2: Convert to fraction form
    451,062/980,815.50 = 980,815.50/x
  3. Step 3: Cross multiply
    451,062x = 980,815.50 × 980,815.50
  4. Step 4: Simplify right side
    451,062x = 961,999,045,040.25
  5. Step 5: Solve for x
    x = 961,999,045,040.25/451,062
  6. Step 6: Final answer
    x = 2,132,742.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.