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Finding the Third Proportional to 523,609 and 1,129,586

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Solution

The third proportional to 523,609 and 1,129,586 is: 2,436,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,609 : 1,129,586 = 1,129,586 : x
  2. Step 2: Convert to fraction form
    523,609/1,129,586 = 1,129,586/x
  3. Step 3: Cross multiply
    523,609x = 1,129,586 × 1,129,586
  4. Step 4: Simplify right side
    523,609x = 1,275,964,531,396
  5. Step 5: Solve for x
    x = 1,275,964,531,396/523,609
  6. Step 6: Final answer
    x = 2,436,865.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.