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Finding the Third Proportional to 723,975 and 1,590,699

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Solution

The third proportional to 723,975 and 1,590,699 is: 3,495,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,975 : 1,590,699 = 1,590,699 : x
  2. Step 2: Convert to fraction form
    723,975/1,590,699 = 1,590,699/x
  3. Step 3: Cross multiply
    723,975x = 1,590,699 × 1,590,699
  4. Step 4: Simplify right side
    723,975x = 2,530,323,308,601
  5. Step 5: Solve for x
    x = 2,530,323,308,601/723,975
  6. Step 6: Final answer
    x = 3,495,042.38

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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.