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Finding the Third Proportional to 680,904 and 1,481,148

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Solution

The third proportional to 680,904 and 1,481,148 is: 3,221,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,904 : 1,481,148 = 1,481,148 : x
  2. Step 2: Convert to fraction form
    680,904/1,481,148 = 1,481,148/x
  3. Step 3: Cross multiply
    680,904x = 1,481,148 × 1,481,148
  4. Step 4: Simplify right side
    680,904x = 2,193,799,397,904
  5. Step 5: Solve for x
    x = 2,193,799,397,904/680,904
  6. Step 6: Final answer
    x = 3,221,892.36

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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.