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Finding the Third Proportional to 740,204 and 1,613,572

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Solution

The third proportional to 740,204 and 1,613,572 is: 3,517,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,204 : 1,613,572 = 1,613,572 : x
  2. Step 2: Convert to fraction form
    740,204/1,613,572 = 1,613,572/x
  3. Step 3: Cross multiply
    740,204x = 1,613,572 × 1,613,572
  4. Step 4: Simplify right side
    740,204x = 2,603,614,599,184
  5. Step 5: Solve for x
    x = 2,603,614,599,184/740,204
  6. Step 6: Final answer
    x = 3,517,428.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.