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Finding the Third Proportional to 484,185,832 and 1,002,824,082

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Solution

The third proportional to 484,185,832 and 1,002,824,082 is: 2,077,004,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,185,832 : 1,002,824,082 = 1,002,824,082 : x
  2. Step 2: Convert to fraction form
    484,185,832/1,002,824,082 = 1,002,824,082/x
  3. Step 3: Cross multiply
    484,185,832x = 1,002,824,082 × 1,002,824,082
  4. Step 4: Simplify right side
    484,185,832x = 1,005,656,139,439,142,784
  5. Step 5: Solve for x
    x = 1,005,656,139,439,142,784/484,185,832
  6. Step 6: Final answer
    x = 2,077,004,474.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.