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Finding the Third Proportional to 962,080 and 2,088,103

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Solution

The third proportional to 962,080 and 2,088,103 is: 4,532,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,080 : 2,088,103 = 2,088,103 : x
  2. Step 2: Convert to fraction form
    962,080/2,088,103 = 2,088,103/x
  3. Step 3: Cross multiply
    962,080x = 2,088,103 × 2,088,103
  4. Step 4: Simplify right side
    962,080x = 4,360,174,138,609
  5. Step 5: Solve for x
    x = 4,360,174,138,609/962,080
  6. Step 6: Final answer
    x = 4,532,028.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.