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Finding the Third Proportional to 534,072 and 1,143,960

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Solution

The third proportional to 534,072 and 1,143,960 is: 2,450,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,072 : 1,143,960 = 1,143,960 : x
  2. Step 2: Convert to fraction form
    534,072/1,143,960 = 1,143,960/x
  3. Step 3: Cross multiply
    534,072x = 1,143,960 × 1,143,960
  4. Step 4: Simplify right side
    534,072x = 1,308,644,481,600
  5. Step 5: Solve for x
    x = 1,308,644,481,600/534,072
  6. Step 6: Final answer
    x = 2,450,314.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.