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Finding the Third Proportional to 802,782 and 1,684,372

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Solution

The third proportional to 802,782 and 1,684,372 is: 3,534,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,782 : 1,684,372 = 1,684,372 : x
  2. Step 2: Convert to fraction form
    802,782/1,684,372 = 1,684,372/x
  3. Step 3: Cross multiply
    802,782x = 1,684,372 × 1,684,372
  4. Step 4: Simplify right side
    802,782x = 2,837,109,034,384
  5. Step 5: Solve for x
    x = 2,837,109,034,384/802,782
  6. Step 6: Final answer
    x = 3,534,096.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.