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Finding the Third Proportional to 766,512 and 1,612,474.50

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Solution

The third proportional to 766,512 and 1,612,474.50 is: 3,392,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,512 : 1,612,474.50 = 1,612,474.50 : x
  2. Step 2: Convert to fraction form
    766,512/1,612,474.50 = 1,612,474.50/x
  3. Step 3: Cross multiply
    766,512x = 1,612,474.50 × 1,612,474.50
  4. Step 4: Simplify right side
    766,512x = 2,600,074,013,150.25
  5. Step 5: Solve for x
    x = 2,600,074,013,150.25/766,512
  6. Step 6: Final answer
    x = 3,392,085.20

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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.