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Finding the Third Proportional to 702,758 and 1,532,727

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Solution

The third proportional to 702,758 and 1,532,727 is: 3,342,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,758 : 1,532,727 = 1,532,727 : x
  2. Step 2: Convert to fraction form
    702,758/1,532,727 = 1,532,727/x
  3. Step 3: Cross multiply
    702,758x = 1,532,727 × 1,532,727
  4. Step 4: Simplify right side
    702,758x = 2,349,252,056,529
  5. Step 5: Solve for x
    x = 2,349,252,056,529/702,758
  6. Step 6: Final answer
    x = 3,342,903.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.