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Finding the Third Proportional to 433,055,902 and 889,069,410

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Solution

The third proportional to 433,055,902 and 889,069,410 is: 1,825,271,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,055,902 : 889,069,410 = 889,069,410 : x
  2. Step 2: Convert to fraction form
    433,055,902/889,069,410 = 889,069,410/x
  3. Step 3: Cross multiply
    433,055,902x = 889,069,410 × 889,069,410
  4. Step 4: Simplify right side
    433,055,902x = 790,444,415,797,748,096
  5. Step 5: Solve for x
    x = 790,444,415,797,748,096/433,055,902
  6. Step 6: Final answer
    x = 1,825,271,084.28

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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.