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Finding the Third Proportional to 684,929 and 1,090,818

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Solution

The third proportional to 684,929 and 1,090,818 is: 1,737,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,929 : 1,090,818 = 1,090,818 : x
  2. Step 2: Convert to fraction form
    684,929/1,090,818 = 1,090,818/x
  3. Step 3: Cross multiply
    684,929x = 1,090,818 × 1,090,818
  4. Step 4: Simplify right side
    684,929x = 1,189,883,909,124
  5. Step 5: Solve for x
    x = 1,189,883,909,124/684,929
  6. Step 6: Final answer
    x = 1,737,236.87

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