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Finding the Third Proportional to 780,224 and 1,676,844

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Solution

The third proportional to 780,224 and 1,676,844 is: 3,603,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,224 : 1,676,844 = 1,676,844 : x
  2. Step 2: Convert to fraction form
    780,224/1,676,844 = 1,676,844/x
  3. Step 3: Cross multiply
    780,224x = 1,676,844 × 1,676,844
  4. Step 4: Simplify right side
    780,224x = 2,811,805,800,336
  5. Step 5: Solve for x
    x = 2,811,805,800,336/780,224
  6. Step 6: Final answer
    x = 3,603,844.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.