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Finding the Third Proportional to 1,742,172 and 3,751,266

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Solution

The third proportional to 1,742,172 and 3,751,266 is: 8,077,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,172 : 3,751,266 = 3,751,266 : x
  2. Step 2: Convert to fraction form
    1,742,172/3,751,266 = 3,751,266/x
  3. Step 3: Cross multiply
    1,742,172x = 3,751,266 × 3,751,266
  4. Step 4: Simplify right side
    1,742,172x = 14,071,996,602,756
  5. Step 5: Solve for x
    x = 14,071,996,602,756/1,742,172
  6. Step 6: Final answer
    x = 8,077,271.71

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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.