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Finding the Third Proportional to 684,926 and 1,090,812

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Solution

The third proportional to 684,926 and 1,090,812 is: 1,737,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,926 : 1,090,812 = 1,090,812 : x
  2. Step 2: Convert to fraction form
    684,926/1,090,812 = 1,090,812/x
  3. Step 3: Cross multiply
    684,926x = 1,090,812 × 1,090,812
  4. Step 4: Simplify right side
    684,926x = 1,189,870,819,344
  5. Step 5: Solve for x
    x = 1,189,870,819,344/684,926
  6. Step 6: Final answer
    x = 1,737,225.36

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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.