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Finding the Third Proportional to 433,055,903 and 889,069,414

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Solution

The third proportional to 433,055,903 and 889,069,414 is: 1,825,271,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,055,903 : 889,069,414 = 889,069,414 : x
  2. Step 2: Convert to fraction form
    433,055,903/889,069,414 = 889,069,414/x
  3. Step 3: Cross multiply
    433,055,903x = 889,069,414 × 889,069,414
  4. Step 4: Simplify right side
    433,055,903x = 790,444,422,910,303,360
  5. Step 5: Solve for x
    x = 790,444,422,910,303,360/433,055,903
  6. Step 6: Final answer
    x = 1,825,271,096.49

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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.