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Finding the Third Proportional to 825,614 and 1,162,657

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Solution

The third proportional to 825,614 and 1,162,657 is: 1,637,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,614 : 1,162,657 = 1,162,657 : x
  2. Step 2: Convert to fraction form
    825,614/1,162,657 = 1,162,657/x
  3. Step 3: Cross multiply
    825,614x = 1,162,657 × 1,162,657
  4. Step 4: Simplify right side
    825,614x = 1,351,771,299,649
  5. Step 5: Solve for x
    x = 1,351,771,299,649/825,614
  6. Step 6: Final answer
    x = 1,637,292.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.