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Finding the Third Proportional to 743,463 and 1,582,830

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Solution

The third proportional to 743,463 and 1,582,830 is: 3,369,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,463 : 1,582,830 = 1,582,830 : x
  2. Step 2: Convert to fraction form
    743,463/1,582,830 = 1,582,830/x
  3. Step 3: Cross multiply
    743,463x = 1,582,830 × 1,582,830
  4. Step 4: Simplify right side
    743,463x = 2,505,350,808,900
  5. Step 5: Solve for x
    x = 2,505,350,808,900/743,463
  6. Step 6: Final answer
    x = 3,369,839.26

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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.