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Finding the Third Proportional to 1,220,895 and 1,796,043

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Solution

The third proportional to 1,220,895 and 1,796,043 is: 2,642,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,895 : 1,796,043 = 1,796,043 : x
  2. Step 2: Convert to fraction form
    1,220,895/1,796,043 = 1,796,043/x
  3. Step 3: Cross multiply
    1,220,895x = 1,796,043 × 1,796,043
  4. Step 4: Simplify right side
    1,220,895x = 3,225,770,457,849
  5. Step 5: Solve for x
    x = 3,225,770,457,849/1,220,895
  6. Step 6: Final answer
    x = 2,642,135.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.