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Finding the Third Proportional to 693,990 and 1,068,049

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Solution

The third proportional to 693,990 and 1,068,049 is: 1,643,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,990 : 1,068,049 = 1,068,049 : x
  2. Step 2: Convert to fraction form
    693,990/1,068,049 = 1,068,049/x
  3. Step 3: Cross multiply
    693,990x = 1,068,049 × 1,068,049
  4. Step 4: Simplify right side
    693,990x = 1,140,728,666,401
  5. Step 5: Solve for x
    x = 1,140,728,666,401/693,990
  6. Step 6: Final answer
    x = 1,643,724.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.