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Finding the Third Proportional to 442,700,823 and 661,611,270

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Solution

The third proportional to 442,700,823 and 661,611,270 is: 988,770,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,700,823 : 661,611,270 = 661,611,270 : x
  2. Step 2: Convert to fraction form
    442,700,823/661,611,270 = 661,611,270/x
  3. Step 3: Cross multiply
    442,700,823x = 661,611,270 × 661,611,270
  4. Step 4: Simplify right side
    442,700,823x = 437,729,472,591,012,928
  5. Step 5: Solve for x
    x = 437,729,472,591,012,928/442,700,823
  6. Step 6: Final answer
    x = 988,770,406.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.