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Finding the Third Proportional to 613,668 and 1,338,900

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Solution

The third proportional to 613,668 and 1,338,900 is: 2,921,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,668 : 1,338,900 = 1,338,900 : x
  2. Step 2: Convert to fraction form
    613,668/1,338,900 = 1,338,900/x
  3. Step 3: Cross multiply
    613,668x = 1,338,900 × 1,338,900
  4. Step 4: Simplify right side
    613,668x = 1,792,653,210,000
  5. Step 5: Solve for x
    x = 1,792,653,210,000/613,668
  6. Step 6: Final answer
    x = 2,921,210.18

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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.