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Finding the Third Proportional to 769,918 and 1,588,618

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Solution

The third proportional to 769,918 and 1,588,618 is: 3,277,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,918 : 1,588,618 = 1,588,618 : x
  2. Step 2: Convert to fraction form
    769,918/1,588,618 = 1,588,618/x
  3. Step 3: Cross multiply
    769,918x = 1,588,618 × 1,588,618
  4. Step 4: Simplify right side
    769,918x = 2,523,707,149,924
  5. Step 5: Solve for x
    x = 2,523,707,149,924/769,918
  6. Step 6: Final answer
    x = 3,277,890.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.