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Finding the Third Proportional to 718,625 and 1,197,633

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Solution

The third proportional to 718,625 and 1,197,633 is: 1,995,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,625 : 1,197,633 = 1,197,633 : x
  2. Step 2: Convert to fraction form
    718,625/1,197,633 = 1,197,633/x
  3. Step 3: Cross multiply
    718,625x = 1,197,633 × 1,197,633
  4. Step 4: Simplify right side
    718,625x = 1,434,324,802,689
  5. Step 5: Solve for x
    x = 1,434,324,802,689/718,625
  6. Step 6: Final answer
    x = 1,995,929.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.