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Finding the Third Proportional to 1,742,492 and 3,751,968

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Solution

The third proportional to 1,742,492 and 3,751,968 is: 8,078,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,492 : 3,751,968 = 3,751,968 : x
  2. Step 2: Convert to fraction form
    1,742,492/3,751,968 = 3,751,968/x
  3. Step 3: Cross multiply
    1,742,492x = 3,751,968 × 3,751,968
  4. Step 4: Simplify right side
    1,742,492x = 14,077,263,873,024
  5. Step 5: Solve for x
    x = 14,077,263,873,024/1,742,492
  6. Step 6: Final answer
    x = 8,078,811.19

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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.