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Finding the Third Proportional to 734,676.50 and 1,134,769

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Solution

The third proportional to 734,676.50 and 1,134,769 is: 1,752,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,676.50 : 1,134,769 = 1,134,769 : x
  2. Step 2: Convert to fraction form
    734,676.50/1,134,769 = 1,134,769/x
  3. Step 3: Cross multiply
    734,676.50x = 1,134,769 × 1,134,769
  4. Step 4: Simplify right side
    734,676.50x = 1,287,700,683,361
  5. Step 5: Solve for x
    x = 1,287,700,683,361/734,676.50
  6. Step 6: Final answer
    x = 1,752,745.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.