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Finding the Third Proportional to 677,698 and 1,411,580

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Solution

The third proportional to 677,698 and 1,411,580 is: 2,940,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,698 : 1,411,580 = 1,411,580 : x
  2. Step 2: Convert to fraction form
    677,698/1,411,580 = 1,411,580/x
  3. Step 3: Cross multiply
    677,698x = 1,411,580 × 1,411,580
  4. Step 4: Simplify right side
    677,698x = 1,992,558,096,400
  5. Step 5: Solve for x
    x = 1,992,558,096,400/677,698
  6. Step 6: Final answer
    x = 2,940,185.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.