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Finding the Third Proportional to 1,046,251.69 and 2,187,136.69

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Solution

The third proportional to 1,046,251.69 and 2,187,136.69 is: 4,572,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,251.69 : 2,187,136.69 = 2,187,136.69 : x
  2. Step 2: Convert to fraction form
    1,046,251.69/2,187,136.69 = 2,187,136.69/x
  3. Step 3: Cross multiply
    1,046,251.69x = 2,187,136.69 × 2,187,136.69
  4. Step 4: Simplify right side
    1,046,251.69x = 4,783,566,889,808.47
  5. Step 5: Solve for x
    x = 4,783,566,889,808.47/1,046,251.69
  6. Step 6: Final answer
    x = 4,572,099.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.