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Finding the Third Proportional to 745,722 and 1,162,755

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Solution

The third proportional to 745,722 and 1,162,755 is: 1,813,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,722 : 1,162,755 = 1,162,755 : x
  2. Step 2: Convert to fraction form
    745,722/1,162,755 = 1,162,755/x
  3. Step 3: Cross multiply
    745,722x = 1,162,755 × 1,162,755
  4. Step 4: Simplify right side
    745,722x = 1,351,999,190,025
  5. Step 5: Solve for x
    x = 1,351,999,190,025/745,722
  6. Step 6: Final answer
    x = 1,813,006.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.