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Finding the Third Proportional to 508,014 and 1,119,699

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Solution

The third proportional to 508,014 and 1,119,699 is: 2,467,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,014 : 1,119,699 = 1,119,699 : x
  2. Step 2: Convert to fraction form
    508,014/1,119,699 = 1,119,699/x
  3. Step 3: Cross multiply
    508,014x = 1,119,699 × 1,119,699
  4. Step 4: Simplify right side
    508,014x = 1,253,725,850,601
  5. Step 5: Solve for x
    x = 1,253,725,850,601/508,014
  6. Step 6: Final answer
    x = 2,467,896.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.