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Finding the Third Proportional to 917,268 and 2,158,272

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Solution

The third proportional to 917,268 and 2,158,272 is: 5,078,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,268 : 2,158,272 = 2,158,272 : x
  2. Step 2: Convert to fraction form
    917,268/2,158,272 = 2,158,272/x
  3. Step 3: Cross multiply
    917,268x = 2,158,272 × 2,158,272
  4. Step 4: Simplify right side
    917,268x = 4,658,138,025,984
  5. Step 5: Solve for x
    x = 4,658,138,025,984/917,268
  6. Step 6: Final answer
    x = 5,078,273.77

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.