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Finding the Third Proportional to 543,214 and 1,169,640

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Solution

The third proportional to 543,214 and 1,169,640 is: 2,518,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,214 : 1,169,640 = 1,169,640 : x
  2. Step 2: Convert to fraction form
    543,214/1,169,640 = 1,169,640/x
  3. Step 3: Cross multiply
    543,214x = 1,169,640 × 1,169,640
  4. Step 4: Simplify right side
    543,214x = 1,368,057,729,600
  5. Step 5: Solve for x
    x = 1,368,057,729,600/543,214
  6. Step 6: Final answer
    x = 2,518,450.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.