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Finding the Third Proportional to 680,240 and 1,478,578

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Solution

The third proportional to 680,240 and 1,478,578 is: 3,213,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,240 : 1,478,578 = 1,478,578 : x
  2. Step 2: Convert to fraction form
    680,240/1,478,578 = 1,478,578/x
  3. Step 3: Cross multiply
    680,240x = 1,478,578 × 1,478,578
  4. Step 4: Simplify right side
    680,240x = 2,186,192,902,084
  5. Step 5: Solve for x
    x = 2,186,192,902,084/680,240
  6. Step 6: Final answer
    x = 3,213,855.26

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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.