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Finding the Third Proportional to 2,119,742 and 4,594,912

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Solution

The third proportional to 2,119,742 and 4,594,912 is: 9,960,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,742 : 4,594,912 = 4,594,912 : x
  2. Step 2: Convert to fraction form
    2,119,742/4,594,912 = 4,594,912/x
  3. Step 3: Cross multiply
    2,119,742x = 4,594,912 × 4,594,912
  4. Step 4: Simplify right side
    2,119,742x = 21,113,216,287,744
  5. Step 5: Solve for x
    x = 21,113,216,287,744/2,119,742
  6. Step 6: Final answer
    x = 9,960,276.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.