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Finding the Third Proportional to 510,953 and 1,074,838

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Solution

The third proportional to 510,953 and 1,074,838 is: 2,261,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,953 : 1,074,838 = 1,074,838 : x
  2. Step 2: Convert to fraction form
    510,953/1,074,838 = 1,074,838/x
  3. Step 3: Cross multiply
    510,953x = 1,074,838 × 1,074,838
  4. Step 4: Simplify right side
    510,953x = 1,155,276,726,244
  5. Step 5: Solve for x
    x = 1,155,276,726,244/510,953
  6. Step 6: Final answer
    x = 2,261,023.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.