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Finding the Third Proportional to 1,305,849 and 1,997,409

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Solution

The third proportional to 1,305,849 and 1,997,409 is: 3,055,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,849 : 1,997,409 = 1,997,409 : x
  2. Step 2: Convert to fraction form
    1,305,849/1,997,409 = 1,997,409/x
  3. Step 3: Cross multiply
    1,305,849x = 1,997,409 × 1,997,409
  4. Step 4: Simplify right side
    1,305,849x = 3,989,642,713,281
  5. Step 5: Solve for x
    x = 3,989,642,713,281/1,305,849
  6. Step 6: Final answer
    x = 3,055,209.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.