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Finding the Third Proportional to 537,078 and 1,170,024

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Solution

The third proportional to 537,078 and 1,170,024 is: 2,548,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,078 : 1,170,024 = 1,170,024 : x
  2. Step 2: Convert to fraction form
    537,078/1,170,024 = 1,170,024/x
  3. Step 3: Cross multiply
    537,078x = 1,170,024 × 1,170,024
  4. Step 4: Simplify right side
    537,078x = 1,368,956,160,576
  5. Step 5: Solve for x
    x = 1,368,956,160,576/537,078
  6. Step 6: Final answer
    x = 2,548,896.36

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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.