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Finding the Third Proportional to 2,098,871 and 4,449,970

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Solution

The third proportional to 2,098,871 and 4,449,970 is: 9,434,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,871 : 4,449,970 = 4,449,970 : x
  2. Step 2: Convert to fraction form
    2,098,871/4,449,970 = 4,449,970/x
  3. Step 3: Cross multiply
    2,098,871x = 4,449,970 × 4,449,970
  4. Step 4: Simplify right side
    2,098,871x = 19,802,233,000,900
  5. Step 5: Solve for x
    x = 19,802,233,000,900/2,098,871
  6. Step 6: Final answer
    x = 9,434,707.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.