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Finding the Third Proportional to 684,954 and 1,090,851

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Solution

The third proportional to 684,954 and 1,090,851 is: 1,737,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,954 : 1,090,851 = 1,090,851 : x
  2. Step 2: Convert to fraction form
    684,954/1,090,851 = 1,090,851/x
  3. Step 3: Cross multiply
    684,954x = 1,090,851 × 1,090,851
  4. Step 4: Simplify right side
    684,954x = 1,189,955,904,201
  5. Step 5: Solve for x
    x = 1,189,955,904,201/684,954
  6. Step 6: Final answer
    x = 1,737,278.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.