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Finding the Third Proportional to 745,233 and 1,616,493

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Solution

The third proportional to 745,233 and 1,616,493 is: 3,506,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,233 : 1,616,493 = 1,616,493 : x
  2. Step 2: Convert to fraction form
    745,233/1,616,493 = 1,616,493/x
  3. Step 3: Cross multiply
    745,233x = 1,616,493 × 1,616,493
  4. Step 4: Simplify right side
    745,233x = 2,613,049,619,049
  5. Step 5: Solve for x
    x = 2,613,049,619,049/745,233
  6. Step 6: Final answer
    x = 3,506,352.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.