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Finding the Third Proportional to 3,639,566 and 5,708,913

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Solution

The third proportional to 3,639,566 and 5,708,913 is: 8,954,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,566 : 5,708,913 = 5,708,913 : x
  2. Step 2: Convert to fraction form
    3,639,566/5,708,913 = 5,708,913/x
  3. Step 3: Cross multiply
    3,639,566x = 5,708,913 × 5,708,913
  4. Step 4: Simplify right side
    3,639,566x = 32,591,687,641,569
  5. Step 5: Solve for x
    x = 32,591,687,641,569/3,639,566
  6. Step 6: Final answer
    x = 8,954,828.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.