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Finding the Third Proportional to 737,548 and 1,139,077

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Solution

The third proportional to 737,548 and 1,139,077 is: 1,759,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,548 : 1,139,077 = 1,139,077 : x
  2. Step 2: Convert to fraction form
    737,548/1,139,077 = 1,139,077/x
  3. Step 3: Cross multiply
    737,548x = 1,139,077 × 1,139,077
  4. Step 4: Simplify right side
    737,548x = 1,297,496,411,929
  5. Step 5: Solve for x
    x = 1,297,496,411,929/737,548
  6. Step 6: Final answer
    x = 1,759,202.67

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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.