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Finding the Third Proportional to 537,059 and 1,169,968

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Solution

The third proportional to 537,059 and 1,169,968 is: 2,548,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,059 : 1,169,968 = 1,169,968 : x
  2. Step 2: Convert to fraction form
    537,059/1,169,968 = 1,169,968/x
  3. Step 3: Cross multiply
    537,059x = 1,169,968 × 1,169,968
  4. Step 4: Simplify right side
    537,059x = 1,368,825,121,024
  5. Step 5: Solve for x
    x = 1,368,825,121,024/537,059
  6. Step 6: Final answer
    x = 2,548,742.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.