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Finding the Third Proportional to 684,962 and 1,090,864

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Solution

The third proportional to 684,962 and 1,090,864 is: 1,737,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,962 : 1,090,864 = 1,090,864 : x
  2. Step 2: Convert to fraction form
    684,962/1,090,864 = 1,090,864/x
  3. Step 3: Cross multiply
    684,962x = 1,090,864 × 1,090,864
  4. Step 4: Simplify right side
    684,962x = 1,189,984,266,496
  5. Step 5: Solve for x
    x = 1,189,984,266,496/684,962
  6. Step 6: Final answer
    x = 1,737,299.68

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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.