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Finding the Third Proportional to 510,958 and 1,074,834

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Solution

The third proportional to 510,958 and 1,074,834 is: 2,260,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,958 : 1,074,834 = 1,074,834 : x
  2. Step 2: Convert to fraction form
    510,958/1,074,834 = 1,074,834/x
  3. Step 3: Cross multiply
    510,958x = 1,074,834 × 1,074,834
  4. Step 4: Simplify right side
    510,958x = 1,155,268,127,556
  5. Step 5: Solve for x
    x = 1,155,268,127,556/510,958
  6. Step 6: Final answer
    x = 2,260,984.52

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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.