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Finding the Third Proportional to 766,672 and 1,680,966

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Solution

The third proportional to 766,672 and 1,680,966 is: 3,685,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,672 : 1,680,966 = 1,680,966 : x
  2. Step 2: Convert to fraction form
    766,672/1,680,966 = 1,680,966/x
  3. Step 3: Cross multiply
    766,672x = 1,680,966 × 1,680,966
  4. Step 4: Simplify right side
    766,672x = 2,825,646,693,156
  5. Step 5: Solve for x
    x = 2,825,646,693,156/766,672
  6. Step 6: Final answer
    x = 3,685,600.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.