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Finding the Third Proportional to 735,745 and 1,583,757

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Solution

The third proportional to 735,745 and 1,583,757 is: 3,409,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,745 : 1,583,757 = 1,583,757 : x
  2. Step 2: Convert to fraction form
    735,745/1,583,757 = 1,583,757/x
  3. Step 3: Cross multiply
    735,745x = 1,583,757 × 1,583,757
  4. Step 4: Simplify right side
    735,745x = 2,508,286,235,049
  5. Step 5: Solve for x
    x = 2,508,286,235,049/735,745
  6. Step 6: Final answer
    x = 3,409,178.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.