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Finding the Third Proportional to 1,209,195 and 2,639,425

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Solution

The third proportional to 1,209,195 and 2,639,425 is: 5,761,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,195 : 2,639,425 = 2,639,425 : x
  2. Step 2: Convert to fraction form
    1,209,195/2,639,425 = 2,639,425/x
  3. Step 3: Cross multiply
    1,209,195x = 2,639,425 × 2,639,425
  4. Step 4: Simplify right side
    1,209,195x = 6,966,564,330,625
  5. Step 5: Solve for x
    x = 6,966,564,330,625/1,209,195
  6. Step 6: Final answer
    x = 5,761,324.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.