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Finding the Third Proportional to 780,996 and 1,705,200

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Solution

The third proportional to 780,996 and 1,705,200 is: 3,723,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,996 : 1,705,200 = 1,705,200 : x
  2. Step 2: Convert to fraction form
    780,996/1,705,200 = 1,705,200/x
  3. Step 3: Cross multiply
    780,996x = 1,705,200 × 1,705,200
  4. Step 4: Simplify right side
    780,996x = 2,907,707,040,000
  5. Step 5: Solve for x
    x = 2,907,707,040,000/780,996
  6. Step 6: Final answer
    x = 3,723,075.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.