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Finding the Third Proportional to 826,614 and 1,264,368

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Solution

The third proportional to 826,614 and 1,264,368 is: 1,933,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,614 : 1,264,368 = 1,264,368 : x
  2. Step 2: Convert to fraction form
    826,614/1,264,368 = 1,264,368/x
  3. Step 3: Cross multiply
    826,614x = 1,264,368 × 1,264,368
  4. Step 4: Simplify right side
    826,614x = 1,598,626,439,424
  5. Step 5: Solve for x
    x = 1,598,626,439,424/826,614
  6. Step 6: Final answer
    x = 1,933,945.52

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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.