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Finding the Third Proportional to 761,647 and 1,654,405

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Solution

The third proportional to 761,647 and 1,654,405 is: 3,593,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,647 : 1,654,405 = 1,654,405 : x
  2. Step 2: Convert to fraction form
    761,647/1,654,405 = 1,654,405/x
  3. Step 3: Cross multiply
    761,647x = 1,654,405 × 1,654,405
  4. Step 4: Simplify right side
    761,647x = 2,737,055,904,025
  5. Step 5: Solve for x
    x = 2,737,055,904,025/761,647
  6. Step 6: Final answer
    x = 3,593,601.63

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