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Finding the Third Proportional to 1,313,604 and 2,829,834

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Solution

The third proportional to 1,313,604 and 2,829,834 is: 6,096,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,604 : 2,829,834 = 2,829,834 : x
  2. Step 2: Convert to fraction form
    1,313,604/2,829,834 = 2,829,834/x
  3. Step 3: Cross multiply
    1,313,604x = 2,829,834 × 2,829,834
  4. Step 4: Simplify right side
    1,313,604x = 8,007,960,467,556
  5. Step 5: Solve for x
    x = 8,007,960,467,556/1,313,604
  6. Step 6: Final answer
    x = 6,096,175.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.