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Finding the Third Proportional to 1,053,678 and 2,284,507

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Solution

The third proportional to 1,053,678 and 2,284,507 is: 4,953,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,678 : 2,284,507 = 2,284,507 : x
  2. Step 2: Convert to fraction form
    1,053,678/2,284,507 = 2,284,507/x
  3. Step 3: Cross multiply
    1,053,678x = 2,284,507 × 2,284,507
  4. Step 4: Simplify right side
    1,053,678x = 5,218,972,233,049
  5. Step 5: Solve for x
    x = 5,218,972,233,049/1,053,678
  6. Step 6: Final answer
    x = 4,953,099.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.