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Finding the Third Proportional to 737,624 and 1,121,741

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Solution

The third proportional to 737,624 and 1,121,741 is: 1,705,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,624 : 1,121,741 = 1,121,741 : x
  2. Step 2: Convert to fraction form
    737,624/1,121,741 = 1,121,741/x
  3. Step 3: Cross multiply
    737,624x = 1,121,741 × 1,121,741
  4. Step 4: Simplify right side
    737,624x = 1,258,302,871,081
  5. Step 5: Solve for x
    x = 1,258,302,871,081/737,624
  6. Step 6: Final answer
    x = 1,705,886.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.