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Finding the Third Proportional to 1,418,742 and 3,113,172

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Solution

The third proportional to 1,418,742 and 3,113,172 is: 6,831,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,742 : 3,113,172 = 3,113,172 : x
  2. Step 2: Convert to fraction form
    1,418,742/3,113,172 = 3,113,172/x
  3. Step 3: Cross multiply
    1,418,742x = 3,113,172 × 3,113,172
  4. Step 4: Simplify right side
    1,418,742x = 9,691,839,901,584
  5. Step 5: Solve for x
    x = 9,691,839,901,584/1,418,742
  6. Step 6: Final answer
    x = 6,831,291.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.