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Finding the Third Proportional to 460,765,625 and 1,015,449,960

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Solution

The third proportional to 460,765,625 and 1,015,449,960 is: 2,237,880,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,765,625 : 1,015,449,960 = 1,015,449,960 : x
  2. Step 2: Convert to fraction form
    460,765,625/1,015,449,960 = 1,015,449,960/x
  3. Step 3: Cross multiply
    460,765,625x = 1,015,449,960 × 1,015,449,960
  4. Step 4: Simplify right side
    460,765,625x = 1,031,138,621,264,001,536
  5. Step 5: Solve for x
    x = 1,031,138,621,264,001,536/460,765,625
  6. Step 6: Final answer
    x = 2,237,880,964.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.