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Finding the Third Proportional to 2,418,565 and 3,496,215

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Solution

The third proportional to 2,418,565 and 3,496,215 is: 5,054,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418,565 : 3,496,215 = 3,496,215 : x
  2. Step 2: Convert to fraction form
    2,418,565/3,496,215 = 3,496,215/x
  3. Step 3: Cross multiply
    2,418,565x = 3,496,215 × 3,496,215
  4. Step 4: Simplify right side
    2,418,565x = 12,223,519,326,225
  5. Step 5: Solve for x
    x = 12,223,519,326,225/2,418,565
  6. Step 6: Final answer
    x = 5,054,037.96

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.