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Finding the Third Proportional to 684,957 and 1,090,856

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Solution

The third proportional to 684,957 and 1,090,856 is: 1,737,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,957 : 1,090,856 = 1,090,856 : x
  2. Step 2: Convert to fraction form
    684,957/1,090,856 = 1,090,856/x
  3. Step 3: Cross multiply
    684,957x = 1,090,856 × 1,090,856
  4. Step 4: Simplify right side
    684,957x = 1,189,966,812,736
  5. Step 5: Solve for x
    x = 1,189,966,812,736/684,957
  6. Step 6: Final answer
    x = 1,737,286.88

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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.