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Finding the Third Proportional to 519,614 and 1,116,582

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Solution

The third proportional to 519,614 and 1,116,582 is: 2,399,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,614 : 1,116,582 = 1,116,582 : x
  2. Step 2: Convert to fraction form
    519,614/1,116,582 = 1,116,582/x
  3. Step 3: Cross multiply
    519,614x = 1,116,582 × 1,116,582
  4. Step 4: Simplify right side
    519,614x = 1,246,755,362,724
  5. Step 5: Solve for x
    x = 1,246,755,362,724/519,614
  6. Step 6: Final answer
    x = 2,399,387.55

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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.