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Finding the Third Proportional to 1,742,470 and 3,751,934

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Solution

The third proportional to 1,742,470 and 3,751,934 is: 8,078,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,470 : 3,751,934 = 3,751,934 : x
  2. Step 2: Convert to fraction form
    1,742,470/3,751,934 = 3,751,934/x
  3. Step 3: Cross multiply
    1,742,470x = 3,751,934 × 3,751,934
  4. Step 4: Simplify right side
    1,742,470x = 14,077,008,740,356
  5. Step 5: Solve for x
    x = 14,077,008,740,356/1,742,470
  6. Step 6: Final answer
    x = 8,078,766.77

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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.