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Finding the Third Proportional to 701,586 and 1,129,905

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Solution

The third proportional to 701,586 and 1,129,905 is: 1,819,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,586 : 1,129,905 = 1,129,905 : x
  2. Step 2: Convert to fraction form
    701,586/1,129,905 = 1,129,905/x
  3. Step 3: Cross multiply
    701,586x = 1,129,905 × 1,129,905
  4. Step 4: Simplify right side
    701,586x = 1,276,685,309,025
  5. Step 5: Solve for x
    x = 1,276,685,309,025/701,586
  6. Step 6: Final answer
    x = 1,819,713.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.