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Finding the Third Proportional to 1,403,694 and 2,096,185

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Solution

The third proportional to 1,403,694 and 2,096,185 is: 3,130,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,694 : 2,096,185 = 2,096,185 : x
  2. Step 2: Convert to fraction form
    1,403,694/2,096,185 = 2,096,185/x
  3. Step 3: Cross multiply
    1,403,694x = 2,096,185 × 2,096,185
  4. Step 4: Simplify right side
    1,403,694x = 4,393,991,554,225
  5. Step 5: Solve for x
    x = 4,393,991,554,225/1,403,694
  6. Step 6: Final answer
    x = 3,130,305.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.