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Finding the Third Proportional to 726,093 and 1,578,121

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Solution

The third proportional to 726,093 and 1,578,121 is: 3,429,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,093 : 1,578,121 = 1,578,121 : x
  2. Step 2: Convert to fraction form
    726,093/1,578,121 = 1,578,121/x
  3. Step 3: Cross multiply
    726,093x = 1,578,121 × 1,578,121
  4. Step 4: Simplify right side
    726,093x = 2,490,465,890,641
  5. Step 5: Solve for x
    x = 2,490,465,890,641/726,093
  6. Step 6: Final answer
    x = 3,429,954.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.