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Finding the Third Proportional to 433,055,904 and 889,069,417

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Solution

The third proportional to 433,055,904 and 889,069,417 is: 1,825,271,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,055,904 : 889,069,417 = 889,069,417 : x
  2. Step 2: Convert to fraction form
    433,055,904/889,069,417 = 889,069,417/x
  3. Step 3: Cross multiply
    433,055,904x = 889,069,417 × 889,069,417
  4. Step 4: Simplify right side
    433,055,904x = 790,444,428,244,719,872
  5. Step 5: Solve for x
    x = 790,444,428,244,719,872/433,055,904
  6. Step 6: Final answer
    x = 1,825,271,104.59

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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.