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Finding the Third Proportional to 1,968,742 and 3,214,747

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Solution

The third proportional to 1,968,742 and 3,214,747 is: 5,249,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,742 : 3,214,747 = 3,214,747 : x
  2. Step 2: Convert to fraction form
    1,968,742/3,214,747 = 3,214,747/x
  3. Step 3: Cross multiply
    1,968,742x = 3,214,747 × 3,214,747
  4. Step 4: Simplify right side
    1,968,742x = 10,334,598,274,009
  5. Step 5: Solve for x
    x = 10,334,598,274,009/1,968,742
  6. Step 6: Final answer
    x = 5,249,341.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.