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Finding the Third Proportional to 771,996 and 1,701,051

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Solution

The third proportional to 771,996 and 1,701,051 is: 3,748,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,996 : 1,701,051 = 1,701,051 : x
  2. Step 2: Convert to fraction form
    771,996/1,701,051 = 1,701,051/x
  3. Step 3: Cross multiply
    771,996x = 1,701,051 × 1,701,051
  4. Step 4: Simplify right side
    771,996x = 2,893,574,504,601
  5. Step 5: Solve for x
    x = 2,893,574,504,601/771,996
  6. Step 6: Final answer
    x = 3,748,172.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.