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Finding the Third Proportional to 1,538,120 and 2,294,436

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Solution

The third proportional to 1,538,120 and 2,294,436 is: 3,422,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,120 : 2,294,436 = 2,294,436 : x
  2. Step 2: Convert to fraction form
    1,538,120/2,294,436 = 2,294,436/x
  3. Step 3: Cross multiply
    1,538,120x = 2,294,436 × 2,294,436
  4. Step 4: Simplify right side
    1,538,120x = 5,264,436,558,096
  5. Step 5: Solve for x
    x = 5,264,436,558,096/1,538,120
  6. Step 6: Final answer
    x = 3,422,643.59

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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.