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Finding the Third Proportional to 480,631,185 and 986,741,874

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Solution

The third proportional to 480,631,185 and 986,741,874 is: 2,025,793,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,631,185 : 986,741,874 = 986,741,874 : x
  2. Step 2: Convert to fraction form
    480,631,185/986,741,874 = 986,741,874/x
  3. Step 3: Cross multiply
    480,631,185x = 986,741,874 × 986,741,874
  4. Step 4: Simplify right side
    480,631,185x = 973,659,525,905,031,936
  5. Step 5: Solve for x
    x = 973,659,525,905,031,936/480,631,185
  6. Step 6: Final answer
    x = 2,025,793,490.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.