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Finding the Third Proportional to 517,522 and 1,131,596

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Solution

The third proportional to 517,522 and 1,131,596 is: 2,474,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,522 : 1,131,596 = 1,131,596 : x
  2. Step 2: Convert to fraction form
    517,522/1,131,596 = 1,131,596/x
  3. Step 3: Cross multiply
    517,522x = 1,131,596 × 1,131,596
  4. Step 4: Simplify right side
    517,522x = 1,280,509,507,216
  5. Step 5: Solve for x
    x = 1,280,509,507,216/517,522
  6. Step 6: Final answer
    x = 2,474,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.