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Finding the Third Proportional to 815,816 and 1,767,200

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Solution

The third proportional to 815,816 and 1,767,200 is: 3,828,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,816 : 1,767,200 = 1,767,200 : x
  2. Step 2: Convert to fraction form
    815,816/1,767,200 = 1,767,200/x
  3. Step 3: Cross multiply
    815,816x = 1,767,200 × 1,767,200
  4. Step 4: Simplify right side
    815,816x = 3,122,995,840,000
  5. Step 5: Solve for x
    x = 3,122,995,840,000/815,816
  6. Step 6: Final answer
    x = 3,828,063.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.