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Finding the Third Proportional to 1,205,872 and 1,919,507

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Solution

The third proportional to 1,205,872 and 1,919,507 is: 3,055,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,872 : 1,919,507 = 1,919,507 : x
  2. Step 2: Convert to fraction form
    1,205,872/1,919,507 = 1,919,507/x
  3. Step 3: Cross multiply
    1,205,872x = 1,919,507 × 1,919,507
  4. Step 4: Simplify right side
    1,205,872x = 3,684,507,123,049
  5. Step 5: Solve for x
    x = 3,684,507,123,049/1,205,872
  6. Step 6: Final answer
    x = 3,055,471.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.