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Finding the Third Proportional to 590,467 and 1,590,613

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Solution

The third proportional to 590,467 and 1,590,613 is: 4,284,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,467 : 1,590,613 = 1,590,613 : x
  2. Step 2: Convert to fraction form
    590,467/1,590,613 = 1,590,613/x
  3. Step 3: Cross multiply
    590,467x = 1,590,613 × 1,590,613
  4. Step 4: Simplify right side
    590,467x = 2,530,049,715,769
  5. Step 5: Solve for x
    x = 2,530,049,715,769/590,467
  6. Step 6: Final answer
    x = 4,284,828.31

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.