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Finding the Third Proportional to 1,403,912.25 and 2,053,218.38

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Solution

The third proportional to 1,403,912.25 and 2,053,218.38 is: 3,002,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,912.25 : 2,053,218.38 = 2,053,218.38 : x
  2. Step 2: Convert to fraction form
    1,403,912.25/2,053,218.38 = 2,053,218.38/x
  3. Step 3: Cross multiply
    1,403,912.25x = 2,053,218.38 × 2,053,218.38
  4. Step 4: Simplify right side
    1,403,912.25x = 4,215,705,695,437.64
  5. Step 5: Solve for x
    x = 4,215,705,695,437.64/1,403,912.25
  6. Step 6: Final answer
    x = 3,002,827.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.