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Finding the Third Proportional to 1,429,682.48 and 3,147,228.84

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Solution

The third proportional to 1,429,682.48 and 3,147,228.84 is: 6,928,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,682.48 : 3,147,228.84 = 3,147,228.84 : x
  2. Step 2: Convert to fraction form
    1,429,682.48/3,147,228.84 = 3,147,228.84/x
  3. Step 3: Cross multiply
    1,429,682.48x = 3,147,228.84 × 3,147,228.84
  4. Step 4: Simplify right side
    1,429,682.48x = 9,905,049,394,931.96
  5. Step 5: Solve for x
    x = 9,905,049,394,931.96/1,429,682.48
  6. Step 6: Final answer
    x = 6,928,146.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.