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Finding the Third Proportional to 766,534 and 1,612,520

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Solution

The third proportional to 766,534 and 1,612,520 is: 3,392,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,534 : 1,612,520 = 1,612,520 : x
  2. Step 2: Convert to fraction form
    766,534/1,612,520 = 1,612,520/x
  3. Step 3: Cross multiply
    766,534x = 1,612,520 × 1,612,520
  4. Step 4: Simplify right side
    766,534x = 2,600,220,750,400
  5. Step 5: Solve for x
    x = 2,600,220,750,400/766,534
  6. Step 6: Final answer
    x = 3,392,179.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.