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Finding the Third Proportional to 1,082,025 and 2,314,143

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Solution

The third proportional to 1,082,025 and 2,314,143 is: 4,949,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,025 : 2,314,143 = 2,314,143 : x
  2. Step 2: Convert to fraction form
    1,082,025/2,314,143 = 2,314,143/x
  3. Step 3: Cross multiply
    1,082,025x = 2,314,143 × 2,314,143
  4. Step 4: Simplify right side
    1,082,025x = 5,355,257,824,449
  5. Step 5: Solve for x
    x = 5,355,257,824,449/1,082,025
  6. Step 6: Final answer
    x = 4,949,292.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.