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Finding the Third Proportional to 519,653 and 1,116,661

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Solution

The third proportional to 519,653 and 1,116,661 is: 2,399,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,653 : 1,116,661 = 1,116,661 : x
  2. Step 2: Convert to fraction form
    519,653/1,116,661 = 1,116,661/x
  3. Step 3: Cross multiply
    519,653x = 1,116,661 × 1,116,661
  4. Step 4: Simplify right side
    519,653x = 1,246,931,788,921
  5. Step 5: Solve for x
    x = 1,246,931,788,921/519,653
  6. Step 6: Final answer
    x = 2,399,546.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.