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Finding the Third Proportional to 734,740 and 1,134,876

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Solution

The third proportional to 734,740 and 1,134,876 is: 1,752,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,740 : 1,134,876 = 1,134,876 : x
  2. Step 2: Convert to fraction form
    734,740/1,134,876 = 1,134,876/x
  3. Step 3: Cross multiply
    734,740x = 1,134,876 × 1,134,876
  4. Step 4: Simplify right side
    734,740x = 1,287,943,535,376
  5. Step 5: Solve for x
    x = 1,287,943,535,376/734,740
  6. Step 6: Final answer
    x = 1,752,924.21

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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.