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Finding the Third Proportional to 2,439,216 and 3,623,436

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Solution

The third proportional to 2,439,216 and 3,623,436 is: 5,382,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439,216 : 3,623,436 = 3,623,436 : x
  2. Step 2: Convert to fraction form
    2,439,216/3,623,436 = 3,623,436/x
  3. Step 3: Cross multiply
    2,439,216x = 3,623,436 × 3,623,436
  4. Step 4: Simplify right side
    2,439,216x = 13,129,288,446,096
  5. Step 5: Solve for x
    x = 13,129,288,446,096/2,439,216
  6. Step 6: Final answer
    x = 5,382,585.41

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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.