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Finding the Third Proportional to 753,138 and 1,153,755

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Solution

The third proportional to 753,138 and 1,153,755 is: 1,767,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,138 : 1,153,755 = 1,153,755 : x
  2. Step 2: Convert to fraction form
    753,138/1,153,755 = 1,153,755/x
  3. Step 3: Cross multiply
    753,138x = 1,153,755 × 1,153,755
  4. Step 4: Simplify right side
    753,138x = 1,331,150,600,025
  5. Step 5: Solve for x
    x = 1,331,150,600,025/753,138
  6. Step 6: Final answer
    x = 1,767,472.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.