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Finding the Third Proportional to 743,476 and 1,582,856

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Solution

The third proportional to 743,476 and 1,582,856 is: 3,369,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,476 : 1,582,856 = 1,582,856 : x
  2. Step 2: Convert to fraction form
    743,476/1,582,856 = 1,582,856/x
  3. Step 3: Cross multiply
    743,476x = 1,582,856 × 1,582,856
  4. Step 4: Simplify right side
    743,476x = 2,505,433,116,736
  5. Step 5: Solve for x
    x = 2,505,433,116,736/743,476
  6. Step 6: Final answer
    x = 3,369,891.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.