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Finding the Third Proportional to 537,072 and 1,169,996

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Solution

The third proportional to 537,072 and 1,169,996 is: 2,548,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,072 : 1,169,996 = 1,169,996 : x
  2. Step 2: Convert to fraction form
    537,072/1,169,996 = 1,169,996/x
  3. Step 3: Cross multiply
    537,072x = 1,169,996 × 1,169,996
  4. Step 4: Simplify right side
    537,072x = 1,368,890,640,016
  5. Step 5: Solve for x
    x = 1,368,890,640,016/537,072
  6. Step 6: Final answer
    x = 2,548,802.84

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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.