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Finding the Third Proportional to 914,008,146 and 1,392,428,187

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Solution

The third proportional to 914,008,146 and 1,392,428,187 is: 2,121,268,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,008,146 : 1,392,428,187 = 1,392,428,187 : x
  2. Step 2: Convert to fraction form
    914,008,146/1,392,428,187 = 1,392,428,187/x
  3. Step 3: Cross multiply
    914,008,146x = 1,392,428,187 × 1,392,428,187
  4. Step 4: Simplify right side
    914,008,146x = 1,938,856,255,952,107,008
  5. Step 5: Solve for x
    x = 1,938,856,255,952,107,008/914,008,146
  6. Step 6: Final answer
    x = 2,121,268,026.37

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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.