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Finding the Third Proportional to 1,420,225 and 1,997,641

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Solution

The third proportional to 1,420,225 and 1,997,641 is: 2,809,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,225 : 1,997,641 = 1,997,641 : x
  2. Step 2: Convert to fraction form
    1,420,225/1,997,641 = 1,997,641/x
  3. Step 3: Cross multiply
    1,420,225x = 1,997,641 × 1,997,641
  4. Step 4: Simplify right side
    1,420,225x = 3,990,569,564,881
  5. Step 5: Solve for x
    x = 3,990,569,564,881/1,420,225
  6. Step 6: Final answer
    x = 2,809,815.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.