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Finding the Third Proportional to 4,609,104 and 6,639,570

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Solution

The third proportional to 4,609,104 and 6,639,570 is: 9,564,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609,104 : 6,639,570 = 6,639,570 : x
  2. Step 2: Convert to fraction form
    4,609,104/6,639,570 = 6,639,570/x
  3. Step 3: Cross multiply
    4,609,104x = 6,639,570 × 6,639,570
  4. Step 4: Simplify right side
    4,609,104x = 44,083,889,784,900
  5. Step 5: Solve for x
    x = 44,083,889,784,900/4,609,104
  6. Step 6: Final answer
    x = 9,564,524.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.