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Finding the Third Proportional to 705,310 and 1,072,727

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Solution

The third proportional to 705,310 and 1,072,727 is: 1,631,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,310 : 1,072,727 = 1,072,727 : x
  2. Step 2: Convert to fraction form
    705,310/1,072,727 = 1,072,727/x
  3. Step 3: Cross multiply
    705,310x = 1,072,727 × 1,072,727
  4. Step 4: Simplify right side
    705,310x = 1,150,743,216,529
  5. Step 5: Solve for x
    x = 1,150,743,216,529/705,310
  6. Step 6: Final answer
    x = 1,631,542.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.