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Finding the Third Proportional to 741,864 and 1,588,680

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Solution

The third proportional to 741,864 and 1,588,680 is: 3,402,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,864 : 1,588,680 = 1,588,680 : x
  2. Step 2: Convert to fraction form
    741,864/1,588,680 = 1,588,680/x
  3. Step 3: Cross multiply
    741,864x = 1,588,680 × 1,588,680
  4. Step 4: Simplify right side
    741,864x = 2,523,904,142,400
  5. Step 5: Solve for x
    x = 2,523,904,142,400/741,864
  6. Step 6: Final answer
    x = 3,402,111.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.