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Finding the Third Proportional to 1,769,222.25 and 3,869,672.48

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Solution

The third proportional to 1,769,222.25 and 3,869,672.48 is: 8,463,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,222.25 : 3,869,672.48 = 3,869,672.48 : x
  2. Step 2: Convert to fraction form
    1,769,222.25/3,869,672.48 = 3,869,672.48/x
  3. Step 3: Cross multiply
    1,769,222.25x = 3,869,672.48 × 3,869,672.48
  4. Step 4: Simplify right side
    1,769,222.25x = 14,974,365,136,328.98
  5. Step 5: Solve for x
    x = 14,974,365,136,328.98/1,769,222.25
  6. Step 6: Final answer
    x = 8,463,812.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.