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Finding the Third Proportional to 510,034 and 1,120,724

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Solution

The third proportional to 510,034 and 1,120,724 is: 2,462,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,034 : 1,120,724 = 1,120,724 : x
  2. Step 2: Convert to fraction form
    510,034/1,120,724 = 1,120,724/x
  3. Step 3: Cross multiply
    510,034x = 1,120,724 × 1,120,724
  4. Step 4: Simplify right side
    510,034x = 1,256,022,284,176
  5. Step 5: Solve for x
    x = 1,256,022,284,176/510,034
  6. Step 6: Final answer
    x = 2,462,624.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.