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Finding the Third Proportional to 512,999 and 1,113,616

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Solution

The third proportional to 512,999 and 1,113,616 is: 2,417,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999 : 1,113,616 = 1,113,616 : x
  2. Step 2: Convert to fraction form
    512,999/1,113,616 = 1,113,616/x
  3. Step 3: Cross multiply
    512,999x = 1,113,616 × 1,113,616
  4. Step 4: Simplify right side
    512,999x = 1,240,140,595,456
  5. Step 5: Solve for x
    x = 1,240,140,595,456/512,999
  6. Step 6: Final answer
    x = 2,417,432.77

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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.