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Finding the Third Proportional to 1,769,012 and 3,868,984

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Solution

The third proportional to 1,769,012 and 3,868,984 is: 8,461,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,012 : 3,868,984 = 3,868,984 : x
  2. Step 2: Convert to fraction form
    1,769,012/3,868,984 = 3,868,984/x
  3. Step 3: Cross multiply
    1,769,012x = 3,868,984 × 3,868,984
  4. Step 4: Simplify right side
    1,769,012x = 14,969,037,192,256
  5. Step 5: Solve for x
    x = 14,969,037,192,256/1,769,012
  6. Step 6: Final answer
    x = 8,461,806.47

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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.