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Finding the Third Proportional to 680,767 and 1,486,174

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Solution

The third proportional to 680,767 and 1,486,174 is: 3,244,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,767 : 1,486,174 = 1,486,174 : x
  2. Step 2: Convert to fraction form
    680,767/1,486,174 = 1,486,174/x
  3. Step 3: Cross multiply
    680,767x = 1,486,174 × 1,486,174
  4. Step 4: Simplify right side
    680,767x = 2,208,713,158,276
  5. Step 5: Solve for x
    x = 2,208,713,158,276/680,767
  6. Step 6: Final answer
    x = 3,244,448.04

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