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Finding the Third Proportional to 649,080 and 1,398,024

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Solution

The third proportional to 649,080 and 1,398,024 is: 3,011,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,080 : 1,398,024 = 1,398,024 : x
  2. Step 2: Convert to fraction form
    649,080/1,398,024 = 1,398,024/x
  3. Step 3: Cross multiply
    649,080x = 1,398,024 × 1,398,024
  4. Step 4: Simplify right side
    649,080x = 1,954,471,104,576
  5. Step 5: Solve for x
    x = 1,954,471,104,576/649,080
  6. Step 6: Final answer
    x = 3,011,140.54

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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.