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Finding the Third Proportional to 914,008,194 and 1,392,428,259

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Solution

The third proportional to 914,008,194 and 1,392,428,259 is: 2,121,268,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,008,194 : 1,392,428,259 = 1,392,428,259 : x
  2. Step 2: Convert to fraction form
    914,008,194/1,392,428,259 = 1,392,428,259/x
  3. Step 3: Cross multiply
    914,008,194x = 1,392,428,259 × 1,392,428,259
  4. Step 4: Simplify right side
    914,008,194x = 1,938,856,456,461,771,008
  5. Step 5: Solve for x
    x = 1,938,856,456,461,771,008/914,008,194
  6. Step 6: Final answer
    x = 2,121,268,134.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.