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Finding the Third Proportional to 4,097,184 and 5,436,864

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Solution

The third proportional to 4,097,184 and 5,436,864 is: 7,214,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,184 : 5,436,864 = 5,436,864 : x
  2. Step 2: Convert to fraction form
    4,097,184/5,436,864 = 5,436,864/x
  3. Step 3: Cross multiply
    4,097,184x = 5,436,864 × 5,436,864
  4. Step 4: Simplify right side
    4,097,184x = 29,559,490,154,496
  5. Step 5: Solve for x
    x = 29,559,490,154,496/4,097,184
  6. Step 6: Final answer
    x = 7,214,586.93

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.