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Finding the Third Proportional to 3,724,634 and 5,695,143

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Solution

The third proportional to 3,724,634 and 5,695,143 is: 8,708,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724,634 : 5,695,143 = 5,695,143 : x
  2. Step 2: Convert to fraction form
    3,724,634/5,695,143 = 5,695,143/x
  3. Step 3: Cross multiply
    3,724,634x = 5,695,143 × 5,695,143
  4. Step 4: Simplify right side
    3,724,634x = 32,434,653,790,449
  5. Step 5: Solve for x
    x = 32,434,653,790,449/3,724,634
  6. Step 6: Final answer
    x = 8,708,145.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.