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Finding the Third Proportional to 826,380 and 1,263,315

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Solution

The third proportional to 826,380 and 1,263,315 is: 1,931,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,380 : 1,263,315 = 1,263,315 : x
  2. Step 2: Convert to fraction form
    826,380/1,263,315 = 1,263,315/x
  3. Step 3: Cross multiply
    826,380x = 1,263,315 × 1,263,315
  4. Step 4: Simplify right side
    826,380x = 1,595,964,789,225
  5. Step 5: Solve for x
    x = 1,595,964,789,225/826,380
  6. Step 6: Final answer
    x = 1,931,272.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.