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Finding the Third Proportional to 2,462,130 and 3,782,133

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Solution

The third proportional to 2,462,130 and 3,782,133 is: 5,809,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,130 : 3,782,133 = 3,782,133 : x
  2. Step 2: Convert to fraction form
    2,462,130/3,782,133 = 3,782,133/x
  3. Step 3: Cross multiply
    2,462,130x = 3,782,133 × 3,782,133
  4. Step 4: Simplify right side
    2,462,130x = 14,304,530,029,689
  5. Step 5: Solve for x
    x = 14,304,530,029,689/2,462,130
  6. Step 6: Final answer
    x = 5,809,819.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.