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Finding the Third Proportional to 465,951 and 1,019,137.50

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Solution

The third proportional to 465,951 and 1,019,137.50 is: 2,229,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,951 : 1,019,137.50 = 1,019,137.50 : x
  2. Step 2: Convert to fraction form
    465,951/1,019,137.50 = 1,019,137.50/x
  3. Step 3: Cross multiply
    465,951x = 1,019,137.50 × 1,019,137.50
  4. Step 4: Simplify right side
    465,951x = 1,038,641,243,906.25
  5. Step 5: Solve for x
    x = 1,038,641,243,906.25/465,951
  6. Step 6: Final answer
    x = 2,229,078.26

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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.