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Finding the Third Proportional to 2,742,718 and 4,183,692

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Solution

The third proportional to 2,742,718 and 4,183,692 is: 6,381,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,718 : 4,183,692 = 4,183,692 : x
  2. Step 2: Convert to fraction form
    2,742,718/4,183,692 = 4,183,692/x
  3. Step 3: Cross multiply
    2,742,718x = 4,183,692 × 4,183,692
  4. Step 4: Simplify right side
    2,742,718x = 17,503,278,750,864
  5. Step 5: Solve for x
    x = 17,503,278,750,864/2,742,718
  6. Step 6: Final answer
    x = 6,381,727.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.