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Finding the Third Proportional to 340,602 and 802,892

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Solution

The third proportional to 340,602 and 802,892 is: 1,892,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,602 : 802,892 = 802,892 : x
  2. Step 2: Convert to fraction form
    340,602/802,892 = 802,892/x
  3. Step 3: Cross multiply
    340,602x = 802,892 × 802,892
  4. Step 4: Simplify right side
    340,602x = 644,635,563,664
  5. Step 5: Solve for x
    x = 644,635,563,664/340,602
  6. Step 6: Final answer
    x = 1,892,635.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.