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Finding the Third Proportional to 728,476 and 1,102,870

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Solution

The third proportional to 728,476 and 1,102,870 is: 1,669,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,476 : 1,102,870 = 1,102,870 : x
  2. Step 2: Convert to fraction form
    728,476/1,102,870 = 1,102,870/x
  3. Step 3: Cross multiply
    728,476x = 1,102,870 × 1,102,870
  4. Step 4: Simplify right side
    728,476x = 1,216,322,236,900
  5. Step 5: Solve for x
    x = 1,216,322,236,900/728,476
  6. Step 6: Final answer
    x = 1,669,680.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.