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Finding the Third Proportional to 802,784 and 1,684,378

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Solution

The third proportional to 802,784 and 1,684,378 is: 3,534,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,784 : 1,684,378 = 1,684,378 : x
  2. Step 2: Convert to fraction form
    802,784/1,684,378 = 1,684,378/x
  3. Step 3: Cross multiply
    802,784x = 1,684,378 × 1,684,378
  4. Step 4: Simplify right side
    802,784x = 2,837,129,246,884
  5. Step 5: Solve for x
    x = 2,837,129,246,884/802,784
  6. Step 6: Final answer
    x = 3,534,112.85

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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.