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Finding the Third Proportional to 537,071 and 1,170,006

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Solution

The third proportional to 537,071 and 1,170,006 is: 2,548,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,071 : 1,170,006 = 1,170,006 : x
  2. Step 2: Convert to fraction form
    537,071/1,170,006 = 1,170,006/x
  3. Step 3: Cross multiply
    537,071x = 1,170,006 × 1,170,006
  4. Step 4: Simplify right side
    537,071x = 1,368,914,040,036
  5. Step 5: Solve for x
    x = 1,368,914,040,036/537,071
  6. Step 6: Final answer
    x = 2,548,851.16

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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.