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Finding the Third Proportional to 1,052,966 and 1,539,961

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Solution

The third proportional to 1,052,966 and 1,539,961 is: 2,252,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,966 : 1,539,961 = 1,539,961 : x
  2. Step 2: Convert to fraction form
    1,052,966/1,539,961 = 1,539,961/x
  3. Step 3: Cross multiply
    1,052,966x = 1,539,961 × 1,539,961
  4. Step 4: Simplify right side
    1,052,966x = 2,371,479,881,521
  5. Step 5: Solve for x
    x = 2,371,479,881,521/1,052,966
  6. Step 6: Final answer
    x = 2,252,190.37

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Why These Related Problems?

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