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Finding the Third Proportional to 1,411,218 and 2,120,010

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Solution

The third proportional to 1,411,218 and 2,120,010 is: 3,184,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,218 : 2,120,010 = 2,120,010 : x
  2. Step 2: Convert to fraction form
    1,411,218/2,120,010 = 2,120,010/x
  3. Step 3: Cross multiply
    1,411,218x = 2,120,010 × 2,120,010
  4. Step 4: Simplify right side
    1,411,218x = 4,494,442,400,100
  5. Step 5: Solve for x
    x = 4,494,442,400,100/1,411,218
  6. Step 6: Final answer
    x = 3,184,796.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.