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Finding the Third Proportional to 2,140,997 and 2,916,169

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Solution

The third proportional to 2,140,997 and 2,916,169 is: 3,972,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,997 : 2,916,169 = 2,916,169 : x
  2. Step 2: Convert to fraction form
    2,140,997/2,916,169 = 2,916,169/x
  3. Step 3: Cross multiply
    2,140,997x = 2,916,169 × 2,916,169
  4. Step 4: Simplify right side
    2,140,997x = 8,504,041,636,561
  5. Step 5: Solve for x
    x = 8,504,041,636,561/2,140,997
  6. Step 6: Final answer
    x = 3,972,000.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.